Fractional Evolution Equations and Inclusions

Written By Yong Zhou
Fractional Evolution Equations and Inclusions
  • Publsiher : Academic Press
  • Release : 05 February 2016
  • ISBN : 0128047755
  • Pages : 294 pages
  • Rating : /5 from reviews
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Download or read book entitled Fractional Evolution Equations and Inclusions by author: Yong Zhou which was release on 05 February 2016 and published by Academic Press with total page 294 pages . This book available in PDF, EPUB and Kindle Format. 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

Fractional Evolution Equations and Inclusions

Fractional Evolution Equations and Inclusions
  • Author : Yong Zhou
  • Publisher : Academic Press
  • Release Date : 2016-02-05
  • Total pages : 294
  • ISBN : 0128047755
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Summary : 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 ...

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
  • Total pages : 383
  • ISBN : 0128047755
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Summary : 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 ...

Fractional Order Equations and Inclusions

Fractional Order Equations and Inclusions
  • Author : Michal Feckan
  • Publisher : Unknown
  • Release Date : 2017
  • Total pages : 212
  • ISBN : 0128047755
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Summary : 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 ...

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
  • Total pages : 518
  • ISBN : 0128047755
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Summary : 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, ...

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
  • Total pages : 249
  • ISBN : 0128047755
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Summary : 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 ...

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release Date : 2018-06-11
  • Total pages : 700
  • ISBN : 0128047755
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Summary : 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 ...

Automatic Control Robotics and Information Processing

Automatic Control  Robotics  and Information Processing
  • Author : Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
  • Publisher : Springer Nature
  • Release Date : 2020-09-03
  • Total pages : 843
  • ISBN : 0128047755
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Summary : 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 ...

Recent Investigations of Differential and Fractional Equations and Inclusions

Recent Investigations of Differential and Fractional Equations and Inclusions
  • Author : Snezhana Hristova
  • Publisher : MDPI
  • Release Date : 2021-02-22
  • Total pages : 190
  • ISBN : 0128047755
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Summary : 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 ...

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release Date : 2021-04-15
  • Total pages : 158
  • ISBN : 0128047755
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Summary : 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 ...

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 Date : 2020-10-21
  • Total pages : 778
  • ISBN : 0128047755
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Summary : 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 ...

Multivalued Maps And Differential Inclusions Elements Of Theory And Applications

Multivalued Maps And Differential Inclusions  Elements Of Theory And Applications
  • Author : Obukhovskii Valeri,Gel'man Boris
  • Publisher : World Scientific
  • Release Date : 2020-04-04
  • Total pages : 220
  • ISBN : 0128047755
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Summary : Read online Multivalued Maps And Differential Inclusions Elements Of Theory And Applications written by Obukhovskii Valeri,Gel'man Boris, published by World Scientific which was released on 2020-04-04. Download full Multivalued Maps And Differential Inclusions Elements Of Theory And Applications Books now! Available in PDF, ePub and Kindle....

Topological Structure of the Solution Set for Evolution Inclusions

Topological Structure of the Solution Set for Evolution Inclusions
  • Author : Yong Zhou,Rong-Nian Wang,Li Peng
  • Publisher : Springer
  • Release Date : 2017-10-31
  • Total pages : 269
  • ISBN : 0128047755
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Summary : This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. In addition, the ...

Mathematical Optimization Theory and Operations Research

Mathematical Optimization Theory and Operations Research
  • Author : Michael Khachay,Yury Kochetov,Panos Pardalos
  • Publisher : Springer
  • Release Date : 2019-06-12
  • Total pages : 716
  • ISBN : 0128047755
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Summary : 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, ...

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 Date : 2018-02-05
  • Total pages : 359
  • ISBN : 0128047755
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Summary : 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 ...

Applied Mathematical Analysis Theory Methods and Applications

Applied Mathematical Analysis  Theory  Methods  and Applications
  • Author : Hemen Dutta,James F. Peters
  • Publisher : Springer
  • Release Date : 2019-02-21
  • Total pages : 810
  • ISBN : 0128047755
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Summary : 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. ...