Fractional Differential Equations

An Approach via Fractional Derivatives

Bangti Jin (Autor)

Buch | Softcover

XIV, 368 Seiten

2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-76045-8 (ISBN)

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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.

Bangti Jin received the B.Eng. degree in polymeric materials and engineering in 2002, theM.Sc. degree in computational mathematics in 2005, both from Zhejiang University, Hangzhou, China, and the Ph.D. degree in applied mathematics from the Chinese University of Hong Kong, Hong Kong, in 2008. Previously, he was an Assistant Professor of mathematics at the University of California, Riverside (2013-2014), a Visiting Assistant Professor at Texas A&M University (2010-2013), an Alexandre von Humboldt Postdoctoral Researcher at the University of Bremen (2009-2010). He is currently Professor of Inverse Problems at the Department of Computer Science, University College London, London, U.K. His research interests include computational inverse problems and numerical analysis of differential equations.

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.

Erscheinungsdatum	26.07.2022
Reihe/Serie	Applied Mathematical Sciences
Zusatzinfo	XIV, 368 p. 32 illus., 6 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	580 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Fractional Calculus • fractional differential equation • fractional Laplacian • Fractional ODEs • Hilbert space theory • Inverse Problems • Mittag-Leffler Function • Ordinary differential equations • regularity • time-fractional diffusion • Well-Posedness • Wright function
ISBN-10	3-030-76045-6 / 3030760456
ISBN-13	978-3-030-76045-8 / 9783030760458
Zustand	Neuware