Fractional Evolution Equations and Inclusions

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  • Publisher : Academic Press
  • Release : 05 February 2016
  • ISBN : 9780128047750
  • Page : 294 pages
  • Rating : 4.5/5 from 103 voters

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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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Fractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions
  • Author : Yong Zhou
  • Publisher : Academic Press
  • Release Date : 2016-02-05
  • ISBN : 9780128047750
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 Date : 2017-11-07
  • ISBN : 9783110521559
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 Fečkan,JinRong Wang,Michal Pospíšil
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2017-11-07
  • ISBN : 9783110522075
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

Theory of Fractional Evolution Equations

Theory of Fractional Evolution Equations
  • Author : Yong Zhou,Bashir Ahmad,Ahmed Alsaedi
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2022-03-21
  • ISBN : 9783110769272
GET THIS BOOKTheory of Fractional Evolution Equations

Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.

Theory of Fractional Evolution Equations

Theory of Fractional Evolution Equations
  • Author : Yong Zhou,Bashir Ahmad,Ahmed Alsaedi
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2022-03-21
  • ISBN : 9783110769364
GET THIS BOOKTheory of Fractional Evolution Equations

Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.

Fractional Differential Equations, Inclusions and Inequalities with Applications

Fractional Differential Equations, Inclusions and Inequalities with Applications
  • Author : Sotiris K. Ntouyas
  • Publisher : MDPI
  • Release Date : 2020-11-09
  • ISBN : 9783039432189
GET THIS BOOKFractional Differential Equations, Inclusions and Inequalities with Applications

During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special

Fractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions
  • Author : Yong Zhou
  • Publisher : Academic Press
  • Release Date : 2015-11-09
  • ISBN : 9780128042779
GET THIS BOOKFractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions

Studies in Evolution Equations and Related Topics

Studies in Evolution Equations and Related Topics
  • Author : Gaston M. N'Guérékata,Bourama Toni
  • Publisher : Springer Nature
  • Release Date : 2021-10-27
  • ISBN : 9783030777043
GET THIS BOOKStudies in Evolution Equations and Related Topics

This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite

Fuzzy Fractional Differential Operators and Equations

Fuzzy Fractional Differential Operators and Equations
  • Author : Tofigh Allahviranloo
  • Publisher : Springer Nature
  • Release Date : 2020-06-15
  • ISBN : 9783030512729
GET THIS BOOKFuzzy Fractional Differential Operators and Equations

This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been

Bloch-type Periodic Functions: Theory And Applications To Evolution Equations

Bloch-type Periodic Functions: Theory And Applications To Evolution Equations
  • Author : Yong-kui Chang,Gaston Mandata N'guerekata,Rodrigo Ponce
  • Publisher : World Scientific
  • Release Date : 2022-07-13
  • ISBN : 9789811254376
GET THIS BOOKBloch-type Periodic Functions: Theory And Applications To Evolution Equations

This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

Fractional Differential Equations

Fractional Differential Equations
  • Author : Igor Podlubny
  • Publisher : Elsevier
  • Release Date : 1998-10-27
  • ISBN : 0080531989
GET THIS BOOKFractional Differential Equations

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical

Fractional Calculus

Fractional Calculus
  • Author : Praveen Agarwal,Dumitru Baleanu,YangQuan Chen,Shaher Momani,José António Tenreiro Machado
  • Publisher : Springer Nature
  • Release Date : 2019-11-23
  • ISBN : 9789811504303
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

Mathematical Techniques of Fractional Order Systems

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  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release Date : 2018-06-11
  • ISBN : 9780128135938
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,

Automatic Control, Robotics, and Information Processing

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  • Author : Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
  • Publisher : Springer Nature
  • Release Date : 2020-09-03
  • ISBN : 9783030485870
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

Fractional Differential Equations

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  • Author : Anatoly Kochubei,Yuri Luchko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2019-02-19
  • ISBN : 9783110571660
GET THIS BOOKFractional Differential Equations

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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.