Published by De Gruyter 2024

Nonautonomous Fractional Evolution Equations

Yong Zhou and Jia Wei He

Volume 44 in the series De Gruyter Series in Nonlinear Analysis and Applications

About this book

Fractional evolution equations describe various complex and nonlocal systems with memory. This volume investigates fractional evolution equations, in infinite intervals. The book covers a range of topics, including the existence, uniqueness, attractivity, and applications to fractional diffusion equations and fractional Schrodinger equations. Researchers and graduate students in pure and applied mathematics will find this a useful reference.

Provides comprehensive coverage of fractional calculus
Includes practical applications of nonautonomous fractional evolution equations.
Presents recent and relevant Research based on the authors' research work

Author / Editor information

Yong Zhou, Xiangtan University, China; Jia Wei He, Guangxi University, China.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	VII
Introduction Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XIII
1 Preliminaries Requires Authentication Unlicensed Licensed Download PDF	1
2 Nonautonomous problems with Riemann–Liouville fractional derivative Requires Authentication Unlicensed Licensed Download PDF	21
3 Nonautonomous problems with Caputo fractional derivative Requires Authentication Unlicensed Licensed Download PDF	72
4 Nonautonomous problems of order α ∈ (1, 2) Requires Authentication Unlicensed Licensed Download PDF	136
5 Infinite interval problem of order α ∈ (0, 1) (I) Requires Authentication Unlicensed Licensed Download PDF	166
6 Infinite interval problem of order α ∈ (0, 1) (II) Requires Authentication Unlicensed Licensed Download PDF	186
7 Infinite interval problem of order α ∈ (1, 2) Requires Authentication Unlicensed Licensed Download PDF	202
Bibliography Requires Authentication Unlicensed Licensed Download PDF	233
Index Requires Authentication Unlicensed Licensed Download PDF	241

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Libraries, researchers, and graduate students studying differential equations
Pages
- Front matter: 14
- Main content: 244
Keywords: Fractional calculus in differential equations; Nonautonomous fractional evolution problems; applications of Riemann-Liouville derivatives; Caputo fractional derivative solutions; Infinite interval problem with fractional order.

eBook

Published: July 1, 2024
ISBN: 9783111391243

Hardcover

Published: July 1, 2024
ISBN: 9783111390574