Fractional Evolution Equations and Inclusions

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces. Systematic analysis of existence theory and topological structure of solution sets for fractional evolution inclusions and control systems Differential models with fractional derivative provide an excellent instrument for the description of memory and hereditary properties, and their description and working will provide valuable insights into the modelling of many physical phenomena suitable for engineers and physicists The book provides the necessary background material required to go further into the subject and explore the rich research literature

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  • Author : Yong Zhou
  • Publisher : Academic Press
  • Pages : 294 pages
  • ISBN : 0128047755
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions
  • Author : Yong Zhou
  • Publisher : Academic Press
  • Release : 05 February 2016
GET THIS BOOKFractional Evolution Equations and Inclusions

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and

Fractional-Order Equations and Inclusions

Fractional-Order Equations and Inclusions
  • Author : Michal Fečkan,JinRong Wang,Michal Pospíšil
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 07 November 2017
GET THIS BOOKFractional-Order Equations and Inclusions

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. Contents Fractional Difference Equations Fractional Integral Equations Fractional Differential Equations Fractional Evolution Equations: Continued Fractional Differential Inclusions

Fractional-Order Equations and Inclusions

Fractional-Order Equations and Inclusions
  • Author : Michal Feckan
  • Publisher : Unknown Publisher
  • Release : 19 October 2021
GET THIS BOOKFractional-Order Equations and Inclusions

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. ContentsFractional Difference EquationsFractional Integral EquationsFractional Differential EquationsFractional Evolution Equations: ContinuedFractional Differential Inclusions.

Fractional Calculus

Fractional Calculus
  • Author : Praveen Agarwal,Dumitru Baleanu,YangQuan Chen,Shaher Momani,José António Tenreiro Machado
  • Publisher : Springer Nature
  • Release : 23 November 2019
GET THIS BOOKFractional Calculus

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16–18 July 2018. Organized into 13 chapters, the book discusses the latest trends in various fields of theoretical and applied fractional calculus. Besides an essential mathematical interest, its overall goal is a general improvement of the physical world models for the purpose of computer simulation, analysis, design and control in practical applications. It showcases the development of fractional

Automatic Control, Robotics, and Information Processing

Automatic Control, Robotics, and Information Processing
  • Author : Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
  • Publisher : Springer Nature
  • Release : 03 September 2020
GET THIS BOOKAutomatic Control, Robotics, and Information Processing

This book presents a wide and comprehensive range of issues and problems in various fields of science and engineering, from both theoretical and applied perspectives. The desire to develop more effective and efficient tools and techniques for dealing with complex processes and systems has been a natural inspiration for the emergence of numerous fields of science and technology, in particular control and automation and, more recently, robotics. The contributions gathered here concern the development of methods and algorithms to determine

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release : 11 June 2018
GET THIS BOOKMathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry,

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release : 15 April 2021
GET THIS BOOKNonlinear Differential Equations and Dynamical Systems

This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications
  • Author : Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas
  • Publisher : Springer Nature
  • Release : 21 October 2020
GET THIS BOOKDifferential and Difference Equations with Applications

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

Mathematical Optimization Theory and Operations Research

Mathematical Optimization Theory and Operations Research
  • Author : Michael Khachay,Yury Kochetov,Panos Pardalos
  • Publisher : Springer
  • Release : 12 June 2019
GET THIS BOOKMathematical Optimization Theory and Operations Research

This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 170 submissions. MOTOR 2019 is a successor of the well-known International and All-Russian conference series, which were organized in Ural, Siberia, and the Far East for a long time. The selected papers are organized in the following topical sections: mathematical programming; bi-level optimization; integer programming;

Applied Mathematical Analysis: Theory, Methods, and Applications

Applied Mathematical Analysis: Theory, Methods, and Applications
  • Author : Hemen Dutta,James F. Peters
  • Publisher : Springer
  • Release : 21 February 2019
GET THIS BOOKApplied Mathematical Analysis: Theory, Methods, and Applications

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner

Implicit Fractional Differential and Integral Equations

Implicit Fractional Differential and Integral Equations
  • Author : Saïd Abbas,Mouffak Benchohra,John R. Graef,Johnny Henderson
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 05 February 2018
GET THIS BOOKImplicit Fractional Differential and Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value

Recent Investigations of Differential and Fractional Equations and Inclusions

Recent Investigations of Differential and Fractional Equations and Inclusions
  • Author : Snezhana Hristova
  • Publisher : MDPI
  • Release : 22 February 2021
GET THIS BOOKRecent Investigations of Differential and Fractional Equations and Inclusions

During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering

Basic Theory

Basic Theory
  • Author : Anatoly Kochubei,Yuri Luchko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 19 February 2019
GET THIS BOOKBasic Theory

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.