國立虎尾科技大學 |

Fractional Differential Equations = An Approach via Fractional Derivatives /

紀錄類型:	書目-語言資料,印刷品 : 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.
面頁冊數:	XIV, 368 p. 32 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Integral Transforms, Operational Calculus. -
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. - 1st ed. 2021. - XIV, 368 p. 32 illus., 6 illus. in color.online resource. - Applied Mathematical Sciences,2062196-968X ;. - Applied Mathematical Sciences,191.

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.

ISBN: 9783030760434

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

672154
Integral Transforms, Operational Calculus.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

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