Fractional differential equations : an approach via fractional derivatives
著者
書誌事項
Fractional differential equations : an approach via fractional derivatives
（Applied mathematical sciences, v. 206）
Springer, c2021
- : [pbk.]
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注記
Includes bibliographical references (p. 345-366) and index
内容説明・目次
内容説明
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.
目次
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: Hoelder Space Theory.- Mathematical Preliminaries.- Index.
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