UID:
almahu_9949116151402882
Format:
XIV, 368 p. 32 illus., 6 illus. in color.
,
online resource.
Edition:
1st ed. 2021.
ISBN:
9783030760434
Series Statement:
Applied Mathematical Sciences, 206
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030760427
Additional Edition:
Printed edition: ISBN 9783030760441
Additional Edition:
Printed edition: ISBN 9783030760458
Language:
English
DOI:
10.1007/978-3-030-76043-4
URL:
https://doi.org/10.1007/978-3-030-76043-4
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