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Title
Fractional differential equations : an approach via fractional derivatives / Bangti Jin.
ISBN
9783030760434 (electronic bk.)
303076043X (electronic bk.)
3030760421
9783030760427
Publication Details
Cham, Switzerland : Springer, 2021.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-76043-4 doi
Call Number
QA372
Dewey Decimal Classification
515/.35
Summary
This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 30, 2021).
Series
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 206. 0066-5452
Part I: Preliminaries
Continuous Time Random Walk
Fractional Calculus
Mittag-Leffler and Wright Functions
Part II: Fractional Ordinary Differential Equations
Cauchy Problems for Fractional ODEs
Boundary Value Problem for Fractional ODEs
Part III: Time-Fractional Diffusion
Subdiffusion: Hilbert Space Theory
Subdiffusion: Hölder Space Theory
Mathematical Preliminaries
Index.
