Basic theory of fractional differential equations /

Basic theory of fractional differential equations /

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Bibliographic Details
Author / Creator:Zhou, Yong, 1964-
Imprint:[Hackensack] New Jersey : World Scientific, 2014.
Description:1 online resource.
Language:English
Subject:
Fractional differential equations.
Fractional differential equations.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11275209
Hidden Bibliographic Details
ISBN:9789814579902
9814579904
9789814579896
9814579890
Notes:Includes bibliographical references and index.
Print version record.
Summary:This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and provides 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 Picard operators technique, critical point theory and semigroups theory. Based on research work carried.
Other form:Print version: Zhou, Yong, 1964- Basic theory of fractional differential equations 9789814579896
Table of Contents:
  • 1. Preliminaries. 1.1. Introduction. 1.2. Some notations, concepts and lemmas. 1.3. Fractional calculus. 1.4. Some Results from Nonlinear Analysis. 1.5. Semigroups
  • 2. Fractional functional differential equations. 2.1. Introduction. 2.2. Neutral equations with bounded delay. 2.3. p-type neutral equations. 2.4. Neutral equations with infinite delay. 2.5. Iterative functional differential equations. 2.6. Notes and remarks
  • 3. Fractional ordinary differential equations in Banach spaces. 3.1. Introduction. 3.2. Cauchy problems via measure of noncompactness method. 3.3. Cauchy problems via topological degree method. 3.4. Cauchy problems via Picard operators technique. 3.5. Notes and remarks
  • 4. Fractional abstract evolution equations. 4.1. Introduction. 4.2. Evolution equations with Riemann-Liouville derivative. 4.3. Evolution equations with Caputo derivative. 4.4. Nonlocal Cauchy problems for evolution equations. 4.5. Abstract Cauchy problems with almost sectorial operators. 4.6. Notes and remarks
  • 5. Fractional boundary value problems via critical point theory. 5.1. Introduction. 5.2. Existence of solution for BVP with left and right fractional integrals. 5.3. Multiple solutions for BVP with parameters. 5.4. Infinite solutions for BVP with left and right fractional integrals. 5.5. Existence of solutions for BVP with left and right fractional derivatives. 5.6. Notes and remarks
  • 6. Fractional partial differential equations. 6.1. Introduction. 6.2. Fractional Euler-Lagrange equations. 6.3. Time-fractional diffusion equations. 6.4. Fractional Hamiltonian systems. 6.5. Fractional Schrodinger equations. 6.6. Notes and remarks.

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