Basic Theory Of Fractional Differential Equations (Second Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Theory Of Fractional Differential Equations (Second Edition) write by Yong Zhou. This book was released on 2016-10-20. Basic Theory Of Fractional Differential Equations (Second Edition) available in PDF, EPUB and Kindle. This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier-Stokes equations and fractional diffusion equations.
Basic Theory Of Fractional Differential Equations (Third Edition)
Basic Theory Of Fractional Differential Equations (Third Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Theory Of Fractional Differential Equations (Third Edition) write by Yong Zhou. This book was released on 2023-10-06. Basic Theory Of Fractional Differential Equations (Third Edition) available in PDF, EPUB and Kindle. This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic.In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded.This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research.
Theory and Applications of Fractional Differential Equations
Theory and Applications of Fractional Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory and Applications of Fractional Differential Equations write by A.A. Kilbas. This book was released on 2006-02-16. Theory and Applications of Fractional Differential Equations available in PDF, EPUB and Kindle. This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.
The Analysis of Fractional Differential Equations
The Analysis of Fractional Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Analysis of Fractional Differential Equations write by Kai Diethelm. This book was released on 2010-08-18. The Analysis of Fractional Differential Equations available in PDF, EPUB and Kindle. Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.
Fractional Difference, Differential Equations, and Inclusions
Fractional Difference, Differential Equations, and Inclusions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Difference, Differential Equations, and Inclusions write by Saïd Abbas. This book was released on 2024-01-16. Fractional Difference, Differential Equations, and Inclusions available in PDF, EPUB and Kindle. The field of fractional calculus (FC) is more than 300 years old, and it presumably stemmed from a question about a fractional-order derivative raised in communication between L'Hopital and Leibniz in the year 1695. This branch of mathematical analysis is regarded as the generalization of classical calculus, as it deals with the derivative and integral operators of fractional order. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Some equations include delay effects of finite, infinite, or state-dependent nature. Others are subject to impulsive effect which may be fixed or non-instantaneous. The tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. All the abstract results are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences. Introduces notation, definitions, and foundational concepts of fractional q-calculus Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations
