Bangti Jin
Fractional Differential Equations
An Approach via Fractional Derivatives
Gebonden Engels 2021 9783030760427Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783030760427
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Lezersrecensies
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Inhoudsopgave
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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