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Fractional Differential Equations = ...
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Fractional Differential Equations = An Approach via Fractional Derivatives /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Fractional Differential Equations/ by Bangti Jin.
Reminder of title:
An Approach via Fractional Derivatives /
Author:
Jin, Bangti.
Description:
XIV, 368 p. 32 illus., 6 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Integral Transforms, Operational Calculus. -
Online resource:
https://doi.org/10.1007/978-3-030-76043-4
ISBN:
9783030760434
Fractional Differential Equations = An Approach via Fractional Derivatives /
Jin, Bangti.
Fractional Differential Equations
An 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
Fractional Differential Equations = An Approach via Fractional Derivatives /
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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.
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