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BT 34.016 524.211 Td /F1 22.5 Tf [(Fractional Dynamics Applications Of Fractional Calculus To Dynamics Of )] TJ ET
BT 34.016 496.739 Td /F1 22.5 Tf [(Particles Fields And Media Nonlinear Physical Science)] TJ ET
BT 34.016 453.930 Td /F1 11.2 Tf [(If you ally compulsion such a referred )] TJ ET
BT 223.466 453.930 Td /F1 11.2 Tf [(Fractional Dynamics Applications Of Fractional Calculus To Dynamics Of Particles Fields And Media Nonlinear )] TJ ET
BT 34.016 440.194 Td /F1 11.2 Tf [(Physical Science)] TJ ET
BT 119.043 440.194 Td /F1 11.2 Tf [( book that will have enough money you worth, acquire the entirely best seller from us currently from several preferred authors. If you )] TJ ET
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BT 34.016 399.222 Td /F1 11.2 Tf [(You may not be perplexed to enjoy every ebook collections Fractional Dynamics Applications Of Fractional Calculus To Dynamics Of Particles Fields And )] TJ ET
BT 34.016 385.485 Td /F1 11.2 Tf [(Media Nonlinear Physical Science that we will categorically offer. It is not almost the costs. Its practically what you need currently. This Fractional )] TJ ET
BT 34.016 371.749 Td /F1 11.2 Tf [(Dynamics Applications Of Fractional Calculus To Dynamics Of Particles Fields And Media Nonlinear Physical Science, as one of the most full of life sellers )] TJ ET
BT 34.016 358.013 Td /F1 11.2 Tf [(here will agreed be in the midst of the best options to review.)] TJ ET
BT 34.016 308.277 Td /F1 11.2 Tf [(Fractional Dynamics)] TJ ET
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BT 135.907 308.277 Td /F1 11.2 Tf [( Vasily E. Tarasov 2011-01-04 "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" )] TJ ET
BT 34.016 294.540 Td /F1 11.2 Tf [(presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local )] TJ ET
BT 34.016 280.804 Td /F1 11.2 Tf [(spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local )] TJ ET
BT 34.016 267.068 Td /F1 11.2 Tf [(statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local )] TJ ET
BT 34.016 253.332 Td /F1 11.2 Tf [(properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied )] TJ ET
BT 34.016 239.595 Td /F1 11.2 Tf [(mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, )] TJ ET
BT 34.016 225.859 Td /F1 11.2 Tf [(discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of )] TJ ET
BT 34.016 212.123 Td /F1 11.2 Tf [(Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.)] TJ ET
BT 34.016 198.387 Td /F1 11.2 Tf [(Fractional Dynamics)] TJ ET
BT 135.907 198.387 Td /F1 11.2 Tf [( Carlo Cattani 2015-12 This title is devoted to recent developments in the theory of fractional calculus and its applications. Particular )] TJ ET
BT 34.016 184.650 Td /F1 11.2 Tf [(attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.)] TJ ET
BT 34.016 170.914 Td /F1 11.2 Tf [(Frontiers in Fractional Calculus)] TJ ET
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BT 189.052 170.914 Td /F1 11.2 Tf [( Sachin Bhalekar 2018-03-21 This book brings together eleven topics on different aspects of fractional calculus in a single )] TJ ET
BT 34.016 157.178 Td /F1 11.2 Tf [(volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics and applications. The information in the book is )] TJ ET
BT 34.016 143.442 Td /F1 11.2 Tf [(presented in four parts: Fractional Diffusion Equations: \(i\) solutions of fractional diffusion equations using wavelet methods, \(ii\) the maximum principle for )] TJ ET
BT 34.016 129.705 Td /F1 11.2 Tf [(time fractional diffusion equations, \(iii\) nonlinear sub-diffusion equations. Mathematical Analysis: \(i\) shifted Jacobi polynomials for solving and identifying )] TJ ET
BT 34.016 115.969 Td /F1 11.2 Tf [(coupled fractional delay differential equations, \(ii\) the monotone iteration principle in the theory of Hadamard fractional delay differential equations, \(iii\) )] TJ ET
BT 34.016 102.233 Td /F1 11.2 Tf [(dynamics of fractional order modified Bhalekar-Gejji System, \(iv\) Grunwald-Letnikov derivatives. Computational Techniques: GPU computing of special )] TJ ET
BT 34.016 88.497 Td /F1 11.2 Tf [(mathematical functions used in fractional calculus. Reviews: \(i\) the popular iterative method NIM, \(ii\) fractional derivative with non-singular kernels, \(iii\) )] TJ ET
BT 34.016 74.760 Td /F1 11.2 Tf [(some open problems in fractional order nonlinear system This is a useful reference for researchers and graduate level mathematics students seeking )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(knowledge about of fractional calculus and applied mathematics.)] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Fractional Equations and Models)] TJ ET
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BT 197.838 536.539 Td /F1 11.2 Tf [( Trifce Sandev 2019-11-23 Fractional equations and models play an essential part in the description of anomalous )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.)] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(The Fractional Trigonometry)] TJ ET
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34.016 466.002 m 175.304 466.002 l S
BT 175.304 467.858 Td /F1 11.2 Tf [( Carl F. Lorenzo 2016-11-14 Addresses the rapidly growing field of fractional calculus and provides simplified solutions for )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(linear commensurate-order fractional differential equations The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(is the result of the authors’ work in fractional calculus, and more particularly, in functions for the solutions of fractional differential equations, which is )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(trigonometry for the fractional calculus by providing solutions to linear fractional differential equations. The book begins with an introductory chapter that )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(offers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. The )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also: Presents fractional trigonometry as a tool for scientists )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers Employs a mathematically clear )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(presentation in an e ort to make the topic broadly accessible Includes solutions to linear fractional differential equations and generously features graphical )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(forms of functions to help readers visualize the presented concepts Provides effective and efficient methods to describe complex structures The Fractional )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus. Carl F. Lorenzo is Distinguished Research Associate at )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(application of the fractional calculus and fractional trigonometry. Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(fundamental problems in the area including Riemann’s complementary-function initialization function problem. He received his PhD in Electrical )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(Engineering from Vanderbilt University.)] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(Fractional Calculus in Analysis, Dynamics, and Optimal Control)] TJ ET
BT 348.476 165.660 Td /F1 11.2 Tf [( Jacky Cresson 2014-01-01 This book is devoted to applications of fractional calculus in )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(classical fields of mathematics like analysis, dynamics, partial differential equations and optimal control. The first chapter deals with the notion of local )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(fractional derivatives and its applications to the study of regularity and geometry of curves. The second chapter develops the notion of fractional )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(embedding and fractional assymetric calculus of variations in order to find fractional Lagrangian variational structures for classical dissipative partial )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(differential equations. In continuation of this chapter, a fractional analogue of the classical Pontryagin maximum principle is proved for discrete and )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(continuous fractional optimal control problems. The fourth chapter gives a first mathematical model that allows a rigorous connection to be made between )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(the dynamics of chaotic Hamiltonian systems and fractional dynamics, mixing the previous approaches of G Zaslavsky and R Hilfer. Finally, numerical )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(methods to deal with fractional optimal control problems are discussed and implemented. All the chapters are self-contained and complete proofs are given.)] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(Fractional Calculus with Applications for Nuclear Reactor Dynamics)] TJ ET
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BT 369.727 55.770 Td /F1 11.2 Tf [( Santanu Saha Ray 2015-07-29 Introduces Novel Applications for Solving Neutron )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(Transport Equations While deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(numerous ways. Since fractional calculus represents a reactor more closely than classical integer order calculus, Fractional Calculus with Applications for )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(Nuclear Reactor Dynamics focuses on the application of fractional calculus to describe the physical behavior of nuclear reactors. It applies fractional )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(calculus to incorporate the mathematical methods used to analyze the diffusion theory model of neutron transport and explains the role of neutron )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(transport in reactor theory. The author discusses fractional calculus and the numerical solution for fractional neutron point kinetic equation \(FNPKE\), )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(introduces the technique for efficient and accurate numerical computation for FNPKE with different values of reactivity, and analyzes the fractional neutron )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(point kinetic \(FNPK\) model for the dynamic behavior of neutron motion. The book begins with an overview of nuclear reactors, explains how nuclear )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(energy is extracted from reactors, and explores the behavior of neutron density using reactivity functions. It also demonstrates the applicability of the Haar )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(wavelet method and introduces the neutron diffusion concept to aid readers in understanding the complex behavior of average neutron motion. This text: )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(Applies the effective analytical and numerical methods to obtain the solution for the NDE Determines the numerical solution for one-group delayed neutron )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(FNPKE by the explicit finite difference method Provides the numerical solution for classical as well as fractional neutron point kinetic equations Proposes )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(the Haar wavelet operational method \(HWOM\) to obtain the numerical approximate solution of the neutron point kinetic equation, and more Fractional )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(Calculus with Applications for Nuclear Reactor Dynamics thoroughly and systematically presents the concepts of fractional calculus and emphasizes the )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(relevance of its application to the nuclear reactor.)] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(Handbook of Fractional Calculus for Engineering and Science)] TJ ET
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BT 341.028 344.232 Td /F1 11.2 Tf [( Harendra Singh 2022-02-17 Fractional calculus is used to model many real-life situations )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on. This Handbook: Provides reliable )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations. Readers )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(mathematicians, scientist and researchers working on various real-life problems.)] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(Applications of Fractional Calculus to Modeling in Dynamics and Chaos)] TJ ET
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BT 389.144 206.869 Td /F1 11.2 Tf [( J. F. Gómez-Aguilar 2022-09-29 Applications of Fractional Calculus to Modeling in )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-)] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(the social, health, and physical sciences)] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(Economic Dynamics with Memory)] TJ ET
0.225 w 0 J [ ] 0 d
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BT 202.788 96.979 Td /F1 11.2 Tf [( Vasily E. Tarasov 2021-01-18 This book presents the applications of fractional calculus, fractional operators of non-)] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(to describe the fractional economic dynamics with long memory as well.)] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Methods of Mathematical Modelling)] TJ ET
BT 210.956 536.539 Td /F1 11.2 Tf [( Harendra Singh 2019-09-17 This book features original research articles on the topic of mathematical modelling and )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(applications)] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(Fractional Calculus)] TJ ET
BT 129.663 412.913 Td /F1 11.2 Tf [( Dumitru Baleanu 2016-09-15 This book will give readers the possibility of finding very important mathematical tools for working with )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(tick-by-tick \(log\)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models. All these topics are )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(their choice. The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences.)] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems)] TJ ET
BT 419.159 261.814 Td /F1 11.2 Tf [( Rafael Martínez-Guerra 2020-12-14 This book is about algebraic and )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection \(using differential algebraic )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(approaches\), to systems presenting fractional dynamics, i.e. systems whose dynamics are represented by derivatives and integrals of non-integer order. )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(The authors offer a thorough overview devoted to fault diagnosis and fault-tolerant control applied to fractional-order and integer-order dynamical systems, )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(and they introduce new methodologies for control and observation described by fractional and integer models, together with successful simulations and )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(real-time applications. The basic concepts and tools of mathematics required to understand the methodologies proposed are all clearly introduced and )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(explained. Consequently, the book is useful as supplementary reading in courses of applied mathematics and nonlinear control theory. This book is meant )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(for engineers, mathematicians, physicists and, in general, to researchers and postgraduate students in diverse areas who have a minimum knowledge of )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(calculus. It also contains advanced topics for researchers and professionals interested in the area of states and faults estimation.)] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(Fractional Differential Equations: Numerical Methods for Applications)] TJ ET
BT 376.634 124.452 Td /F1 11.2 Tf [( Matthew Harker 2020-01-25 This book provides a comprehensive set of practical )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(tools for exploring and discovering the world of fractional calculus and its applications, and thereby a means of bridging the theory of fractional differential )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(equations \(FDE\) with real-world facts. These tools seamlessly blend centuries old numerical methods such as Gaussian quadrature that have stood the )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(test of time with pioneering concepts such as hypermatrix equations to harness the emerging capabilities of modern scientific computing environments. )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(This unique fusion of old and new leads to a unified approach that intuitively parallels the classic theory of differential equations, and results in methods )] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(that are unprecedented in computational speed and numerical accuracy. The opening chapter is an introduction to fractional calculus that is geared )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(towards scientists and engineers. The following chapter introduces the reader to the key concepts of approximation theory with an emphasis on the tools of )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(numerical linear algebra. The third chapter provides the keystone for the remainder of the book with a comprehensive set of methods for the approximation )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(of fractional order integrals and derivatives. The fourth chapter describes the numerical solution of initial and boundary value problems for FDE of a single )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(variable, both linear and nonlinear. Moving to two, three, and four dimensions, the ensuing chapter is devoted to a novel approach to the numerical )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(solution of partial FDE that leverages the little-known one-to-one relation between partial differential equations and matrix and hypermatrix equations. The )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(emphasis on applications culminates in the final chapter by addressing inverse problems for ordinary and partial FDE, such as smoothing for data )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(analytics, and the all-important system identification problem. Over a century ago, scientists such as Ludwig Boltzmann and Vito Volterra formulated )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(mathematical models of real materials that -- based on physical evidence -- integrated the history of the system. The present book will be invaluable to )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(students and researchers in fields where analogous phenomena arise, such as viscoelasticity, rheology, polymer dynamics, non-Newtonian fluids, )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(bioengineering, electrochemistry, non-conservative mechanics, groundwater hydrology, NMR and computed tomography, mathematical economics, )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(thermomechanics, anomalous diffusion and transport, control theory, supercapacitors, and genetic algorithms, to name but a few. These investigators will )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(be well-equipped with reproducible numerical methods to explore and discover their particular field of application of FDE.)] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(Advances on Fractional Inequalities)] TJ ET
BT 211.597 385.440 Td /F1 11.2 Tf [( George A. Anastassiou 2011-07-25 Advances on Fractional Inequalities use primarily the Caputo fractional derivative, )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(applied sciences.)] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(General Fractional Derivatives)] TJ ET
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BT 185.306 179.397 Td /F1 11.2 Tf [( Xiao-Jun Yang 2019-05-10 General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(herbivores to figure out the modern developments in theoretical and applied science. Features: Give some new results for fractional calculus of constant )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(and variable orders. Discuss some new definitions for fractional calculus with respect to another function. Provide definitions for general fractional calculus )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(of constant and variable orders. Report new results of general fractional calculus with respect to another function. Propose news special functions with )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(respect to another function and their applications. Present new models for the anomalous relaxation and rheological behaviors. This book serves as a )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(reference book and textbook for scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and )] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(graduate students. Dr. Xiao-Jun Yang is a full professor of Applied Mathematics and Mechanics, at China University of Mining and Technology, China. He )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Modelling and Analysis, International )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Journal of Numerical Methods for Heat & Fluid Flow, and Thermal Science.)] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(Investigations in Dynamics)] TJ ET
BT 167.182 522.803 Td /F1 11.2 Tf [( Alireza Khalili Golmankhaneh 2012-02 Fractional calculus is the calculus of the future, With it, we can solve problems we )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(couldn't have solved before. It is shown that geometric interpretation of fractional integration is "shadows on the walls" and its physical interpretation is )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [("shadows of the past."It may be important to point out that the first application of fractional calculus was made by Abel\(1802-1829\) in the solution of an )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(integral equation that arises in the formulation of the tautochronous problem.)] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(Applications in Physics)] TJ ET
BT 148.428 467.858 Td /F1 11.2 Tf [( Vasily E. Tarasov 2019-02-19 This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(physics, including classical and continuum mechanics.)] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(Fractional Calculus with Applications in Mechanics)] TJ ET
BT 285.341 426.649 Td /F1 11.2 Tf [( Teodor M. Atanackovic 2014-03-17 The books Fractional Calculus with Applications in Mechanics: )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-)] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields. Part 1 of this book )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(definitions and some of the properties of fractional integrals and derivatives. Part 2 is the central part of the book. Chapter 3 presents the analysis of waves )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(constant and variable order are presented.)] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(Non-Integer Order Calculus and its Applications)] TJ ET
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BT 271.604 261.814 Td /F1 11.2 Tf [( Piotr Ostalczyk 2018-03-22 This book focuses on fractional calculus, presenting novel advances in both )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(\(e.g. electrical, mechanical, chemical\), dynamical systems modeling, analysis and synthesis \(e.g technical, biological, economical\) as well as in )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(multidisciplinary areas \(e.g. biochemistry, electrochemistry\).As well as the mathematical foundations the book concentrates on the technical applications of )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(also presents the latest results.Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(exchange of scientific results. The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(and is divided into three parts:• Mathematical foundations• Fractional systems analysis and synthesis• System modelingSeven papers discuss the )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(order differential and difference equations. It is a useful resource for fractional calculus scientific community.)] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(Fractional Dynamics and Control)] TJ ET
BT 197.186 96.979 Td /F1 11.2 Tf [( Dumitru Baleanu 2011-11-19 Fractional Dynamics and Control provides a comprehensive overview of recent advances in )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional )] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(complex systems for engineering and science.)] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Fractional-order Modeling and Control of Dynamic Systems)] TJ ET
BT 329.103 536.539 Td /F1 11.2 Tf [( Aleksei Tepljakov 2017-02-08 This book reports on an outstanding research devoted to )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.)] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(New Trends in Nanotechnology and Fractional Calculus Applications)] TJ ET
BT 375.397 440.385 Td /F1 11.2 Tf [( Dumitru Baleanu 2010-03-14 In recent years fractional calculus has played an )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(This wide range of applications is of interest to engineers, physicists and mathematicians.)] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(Advanced Applications of Fractional Differential Operators to Science and Technology)] TJ ET
0.225 w 0 J [ ] 0 d
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BT 461.707 371.704 Td /F1 11.2 Tf [( Matouk, Ahmed Ezzat 2020-04-24 Fractional-order calculus dates )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(studies of its potential applications. Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(research on fractional calculus and other applied mathematical modeling techniques.)] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(Fixed Point Theory and Fractional Calculus)] TJ ET
BT 249.093 248.078 Td /F1 11.2 Tf [( Pradip Debnath )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(Applications of Fractional Calculus in Physics)] TJ ET
BT 259.713 234.342 Td /F1 11.2 Tf [( R Hilfer 2000-03-02 Fractional calculus is a collection of relatively little-known mathematical results )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus. This volume provides )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(fractional calculus have recently become prominent. Contents:An Introduction to Fractional Calculus \(P L Butzer & U Westphal\)Fractional Time Evolution )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(\(R Hilfer\)Fractional Powers of Infinitesimal Generators of Semigroups \(U Westphal\)Fractional Differences, Derivatives and Fractal Time Series \(B J West & )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(P Grigolini\)Fractional Kinetics of Hamiltonian Chaotic Systems \(G M Zaslavsky\)Polymer Science Applications of Path-Integration, Integral Equations, and )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(Fractional Calculus \(J F Douglas\)Applications to Problems in Polymer Physics and Rheology \(H Schiessel et al.\)Applications of Fractional Calculus )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(Techniques to Problems in Biophysics \(T F Nonnenmacher & R Metzler\)Fractional Calculus and Regular Variation in Thermodynamics \(R Hilfer\) )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(Readership: Statistical, theoretical and mathematical physicists. Keywords:Fractional Calculus in PhysicsReviews: “This monograph provides a systematic )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(treatment of the theory and applications of fractional calculus for physicists. It contains nine review articles surveying those areas in which fractional )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(calculus has become important. All the chapters are self-contained.” Mathematics Abstracts)] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(Local Fractional Integral Transforms and Their Applications)] TJ ET
BT 328.496 55.770 Td /F1 11.2 Tf [( Xiao Jun Yang 2015-10-22 Local Fractional Integral Transforms and Their Applications )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(integral transforms. Provides applications of local fractional Fourier Series Discusses definitions for local fractional Laplace transforms Explains local )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(fractional Laplace transforms coupled with analytical methods)] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(Mathematical Economics)] TJ ET
BT 159.048 467.858 Td /F1 11.2 Tf [( Vasily E. Tarasov 2020-06-03 This book is devoted to the application of fractional calculus in economics to describe processes )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.)] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(Advances in Synchronization of Coupled Fractional Order Systems)] TJ ET
BT 366.644 371.704 Td /F1 11.2 Tf [( Rafael Martínez-Guerra 2018-07-23 After a short introduction to the fundamentals, this )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(continue to gain further importance in many areas of science and engineering. As with many other approaches to mathematical modeling, the first issue to )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' \(I&I\) methodology, the masterslave synchronization scheme )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(for partially known nonlinear fractional order systems, Fractional Algebraic Observability \(FAO\) and Fractional Generalized quasi-Synchronization \(FGqS\) )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(to name but a few. This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(complex nonlinear systems.)] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(Mathematical Economics)] TJ ET
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BT 159.048 220.605 Td /F1 11.2 Tf [( Vasily E. Tarasov 2020 This book is devoted to the application of fractional calculus in economics to describe processes with )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.)] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(Fractional Calculus in Medical and Health Science)] TJ ET
BT 284.103 124.452 Td /F1 11.2 Tf [( Devendra Kumar 2020-07-09 This book covers applications of fractional calculus used for medical and )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.)] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(Fractional Calculus)] TJ ET
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34.016 534.683 m 129.663 534.683 l S
BT 129.663 536.539 Td /F1 11.2 Tf [( Roy Abi Zeid Daou 2014-12-01 After presenting the first volume of this two-volume book, presenting a lot of mathematical and )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(theoretical studies and research related to non-integer calculus, the second volume illustrates applications related to this domain. This volume is made up )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(of 11 chapters. The first chapter presents the heuristic power of the non-integer differential operators in physics starting from the chaos to the emergence, )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(the auto-organizations and the holistic rules. The second chapter shows the dynamics of the fractional order chaotic systems along with some applications. )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(The third chapter represents the pressure control of gas engines by non-integer order controllers by showing a novel trend in the application of the )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(fractional calculus to automotive systems. Chapter 4 shows the way to model fractional order equations using state space modeling along with some )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(applications. Another application related to this domain is the thermal diffusive interface. Chapter 5 shows the analysis of a semi-infinite diffuse plane )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(medium along with the equations that model this medium, and some frequency and time domain responses. However, Chapter 6 treats this problem by )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(controlling this plant using the well-known CRONE controller. Chapter 8 presents the adaptive second-order fractional sliding mode control with an )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(application to a water tanks level system. Chapter 9 treats the mechanical aspect by showing the features of the fractional operators applied to this )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(domain. Also, Chapter Nine presents the theory of diffusive stresses based on the fractional advection-diffusion equation. The modeling of drug diffusion )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(during general anesthesia using Fractional Calculus is shown in Chapter 10 and is considered as another application related to the biomedical field. )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(Finally, Chapter 11 represents an overview of the fractional fuzzy controllers by showing the analysis, the synthesis and the implementation of this module. )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(To sum up, this second volume presents applications of fractional calculus in several engineering domains as the thermal, the automotive, the mechanical, )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(the biomedical and much more. Note that this volume was preceded by a first volume that focuses on the mathematical and theoretical aspects of )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(fractional calculus.)] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(Functional Fractional Calculus)] TJ ET
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BT 184.687 316.759 Td /F1 11.2 Tf [( Shantanu Das 2011-06-01 When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(application to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(description and then efficient controls. The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(several others of are based on ‘ordinary’ calculus. In this book these physical laws are generalized in fractional calculus contexts; taking, heterogeneity )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-)] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(network; and several others; mapping the reality of nature closely. The concept of fractional and complex order differentiation and integration are )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(elaborated mathematically, physically and geometrically with examples. The practical utility of local fractional differentiation for enhancing the character of )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(singularity at phase transition or characterizing the irregularity measure of response function is deliberated. Practical results of viscoelastic experiments, )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(fractional order controls experiments, design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book. )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(The book also maps theory of classical integer order differential equations to fractional calculus contexts, and deals in details with conflicting and )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(demanding initialization issues, required in classical techniques. The book presents a modern approach to solve the ‘solvable’ system of fractional and )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(giving ‘approximately exact’ series solutions. Historically, Sir Isaac Newton and Gottfried Wihelm Leibniz independently discovered calculus in the middle )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(of the 17th century. In recognition to this remarkable discovery, J.von Neumann remarked, “...the calculus was the first achievement of modern )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(mathematics and it is difficult to overestimate its importance. I think it defines more equivocally than anything else the inception of modern mathematical )] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(analysis which is logical development, still constitute the greatest technical advance in exact thinking.” This XXI century has thus started to ‘think-exactly’ )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(for advancement in science & technology by growing application of fractional calculus, and this century has started speaking the language which nature )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(understands the best.)] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(Fractional Dynamics)] TJ ET
BT 135.907 522.803 Td /F1 11.2 Tf [( Carlo Cattani 2015-01-01 The book is devoted to recent developments in the theory of fractional calculus and its applications. )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes )] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(and dynamical systems of fractional order attract researchers from many areas of sciences and technologies, ranging from mathematics and physics to )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(computer science.)] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(Theory And Applications of Fractional Differential Equations)] TJ ET
BT 331.016 440.385 Td /F1 11.2 Tf [( A. Anatolii Aleksandrovich Kilbas 2006 This monograph provides the most recent and up-to-)] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(calculus. The subject of fractional calculus and its applications \(that is, calculus of integrals and derivatives of any arbitrary real or complex order\) has )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(diverse and widespread fields of science and engineering. Some of the areas of present-day applications of fractional models include Fluid Flow, Solute )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on. In the above-mentioned areas, there are phenomena with estrange )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models. The )] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models. What are the useful properties )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(integral and fractional derivative operators do have some of those characteristics. This book is written primarily for the graduate students and researchers )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(investigations which emerge naturally from \(or which are motivated substantially by\) the physical situations modelled mathematically in the book. This )] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit )] TJ ET
BT 34.016 151.924 Td /F1 11.2 Tf [(solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and )] TJ ET
BT 34.016 138.188 Td /F1 11.2 Tf [(partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical )] TJ ET
BT 34.016 124.452 Td /F1 11.2 Tf [(Frobenius method, and also to include an interesting set of applications of the developed theory. Key features: - It is mainly application oriented. - It )] TJ ET
BT 34.016 110.715 Td /F1 11.2 Tf [(contains a complete theory of Fractional Differential Equations. - It can be used as a postgraduate-level textbook in many different disciplines within )] TJ ET
BT 34.016 96.979 Td /F1 11.2 Tf [(science and engineering. - It contains an up-to-date bibliography. - It provides problems and directions for further investigations. - Fractional Modelling is )] TJ ET
BT 34.016 83.243 Td /F1 11.2 Tf [(an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. - It contains many )] TJ ET
BT 34.016 69.507 Td /F1 11.2 Tf [(examples. - and so on!)] TJ ET
BT 34.016 55.770 Td /F1 11.2 Tf [(Intelligent Numerical Methods: Applications to Fractional Calculus)] TJ ET
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BT 360.378 55.770 Td /F1 11.2 Tf [( George A. Anastassiou 2015-12-07 In this monograph the authors present Newton-type, )] TJ ET
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BT 34.016 550.275 Td /F1 11.2 Tf [(Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All )] TJ ET
BT 34.016 536.539 Td /F1 11.2 Tf [(for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others )] TJ ET
BT 34.016 522.803 Td /F1 11.2 Tf [(extending the classical Newton method theory which requires usual differentiability of function. Chapters are self-contained and can be read independently )] TJ ET
BT 34.016 509.067 Td /F1 11.2 Tf [(and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book’s results are expected to find )] TJ ET
BT 34.016 495.330 Td /F1 11.2 Tf [(applications in many areas of applied mathematics, stochastics, computer science and engineering. As such this monograph is suitable for researchers, )] TJ ET
BT 34.016 481.594 Td /F1 11.2 Tf [(graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.)] TJ ET
BT 34.016 467.858 Td /F1 11.2 Tf [(Fractional Order Analysis)] TJ ET
BT 160.297 467.858 Td /F1 11.2 Tf [( Hemen Dutta 2020-09-01 A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains )] TJ ET
BT 34.016 454.122 Td /F1 11.2 Tf [(the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the )] TJ ET
BT 34.016 440.385 Td /F1 11.2 Tf [(theory, methods, applications, and the modern tools and techniques in the field of fractional order analysis. The information, tools, and applications )] TJ ET
BT 34.016 426.649 Td /F1 11.2 Tf [(presented can help develop mathematical methods and models with better accuracy. Comprehensive in scope, the book covers a range of topics )] TJ ET
BT 34.016 412.913 Td /F1 11.2 Tf [(including: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and fractional )] TJ ET
BT 34.016 399.177 Td /F1 11.2 Tf [(integrals, fractional modeling related to transmission of Malaria, and dynamics of Zika virus with various fractional derivatives, and more. Designed to be )] TJ ET
BT 34.016 385.440 Td /F1 11.2 Tf [(an accessible text, several useful, relevant and connected topics can be found in one place, which is crucial for an understanding of the research problems )] TJ ET
BT 34.016 371.704 Td /F1 11.2 Tf [(of an applied nature. This book: Contains recent development in fractional calculus Offers a balance of theory, methods, and applications Puts the focus )] TJ ET
BT 34.016 357.968 Td /F1 11.2 Tf [(on fractional analysis and its interdisciplinary applications, such as fractional models for biological models Helps make research more relevant to real-life )] TJ ET
BT 34.016 344.232 Td /F1 11.2 Tf [(applications Written for researchers, professionals and practitioners, Fractional Order Analysis offers a comprehensive resource to fractional analysis and )] TJ ET
BT 34.016 330.495 Td /F1 11.2 Tf [(its many applications as well as information on the newest research.)] TJ ET
BT 34.016 316.759 Td /F1 11.2 Tf [(Application of Fractional Calculus to Polarization Dynamics in Solid Dielectric Materials)] TJ ET
BT 465.386 316.759 Td /F1 11.2 Tf [( Gary William Bohannan 2000 )] TJ ET
BT 34.016 303.023 Td /F1 11.2 Tf [(Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization)] TJ ET
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BT 516.674 303.023 Td /F1 11.2 Tf [( Said Melliani 2022-08-10 We describe in this book recent )] TJ ET
BT 34.016 289.287 Td /F1 11.2 Tf [(advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent )] TJ ET
BT 34.016 275.550 Td /F1 11.2 Tf [(developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, )] TJ ET
BT 34.016 261.814 Td /F1 11.2 Tf [(fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research )] TJ ET
BT 34.016 248.078 Td /F1 11.2 Tf [(scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and )] TJ ET
BT 34.016 234.342 Td /F1 11.2 Tf [(applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and )] TJ ET
BT 34.016 220.605 Td /F1 11.2 Tf [(concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various )] TJ ET
BT 34.016 206.869 Td /F1 11.2 Tf [(aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.)] TJ ET
BT 34.016 193.133 Td /F1 11.2 Tf [(Fractional Calculus)] TJ ET
BT 129.663 193.133 Td /F1 11.2 Tf [( Dumitru Baleanu 2012 This title will give readers the possibility of finding very important mathematical tools for working with fractional )] TJ ET
BT 34.016 179.397 Td /F1 11.2 Tf [(models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of )] TJ ET
BT 34.016 165.660 Td /F1 11.2 Tf [(efficient numerical methods.)] TJ ET
BT 36.266 128.099 Td /F1 8.0 Tf [(fractional-dynamics-applications-of-fractional-calculus-to-dynamics-of-particles-fields-and-media-nonlinear-)] TJ ET
BT 36.266 118.331 Td /F1 8.0 Tf [(physical-science)] TJ ET
BT 549.512 123.422 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 614.424 123.215 Td /F1 8.0 Tf [(www.israelaktuell.de)] TJ ET
BT 687.328 123.422 Td /F1 8.0 Tf [( on September 28, 2022 by guest)] TJ ET
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