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Fractional differential equations = ...

Jin, Bangti.

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Fractional differential equations = an approach via fractional derivatives /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional differential equations/ by Bangti Jin.
其他題名:	an approach via fractional derivatives /
作者:	Jin, Bangti.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xiv, 368 p. :ill., digital ;24 cm.
內容註:	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: Holder Space Theory -- Mathematical Preliminaries -- Index.
Contained By:	Springer Nature eBook
標題:	Fractional differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-76043-4
ISBN:	9783030760434

Fractional differential equations = an approach via fractional derivatives /
Jin, Bangti.

Fractional differential equationsan approach via fractional derivatives /[electronic resource] :by Bangti Jin. - Cham :Springer International Publishing :2021. - xiv, 368 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.2060066-5452 ;. - Applied mathematical sciences ;v.206..

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: Holder 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.

ISBN: 9783030760434

Standard No.: 10.1007/978-3-030-76043-4doiSubjects--Topical Terms:

2184872
Fractional differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.35

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505 0 $a 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: Holder Space Theory -- Mathematical Preliminaries -- Index.
520 $a 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.
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