Basic Theory Of Fractional Differential Equations (Second Edition)

Yong Zhou, JinRong Wang;Lu Zhang

• Publisher: WSPC
• Year: 2016
• eBook ISBN: 9789813148185
• Edition: 2
• Topic: Mathematics
• Subtopic: Differential Equations
• Index: Mathematics

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.

Table of contents

• Cover
• Halftitle
• Title
• Copyright
• Preface to the Second Edition
• Preface to the First Edition
• Contents
• 1. Preliminaries
• 2. Fractional Functional Differential Equations
• 3. Fractional Ordinary Differential Equations in Banach Spaces
• 4. Fractional Abstract Evolution Equations
• 5. Fractional Impulsive Differential Equations
• 6. Fractional Boundary Value Problems
• 7. Fractional Partial Differential Equations
• Bibliography
• Index