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＜電子ブック＞
Fractional Differential Equations : An Approach via Fractional Derivatives / by Bangti Jin
(Applied Mathematical Sciences. ISSN:2196968X ; 206)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
本文言語	英語
大きさ	XIV, 368 p. 32 illus., 6 illus. in color : online resource
著者標目	*Jin, Bangti author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical analysis FREE:Differential Equations FREE:Integral Transforms and Operational Calculus
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-76043-4

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