Fractional Differential Equations
An Approach via Fractional Derivatives
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Beschreibung
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.
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.
The mathematical models are motivated by practical applications Contains a complete mathematical theory of fractional differential equations Suitable as a postgraduate-level textbook in applied and computational mathematics Includes an up-to-date extensive list of references Provides many examples and exercises
Autor*in
Bangti Jin
Themen in »Fractional Differential Equations«
Fractional calculus Fractional differential equation time-fractional diffusion Mittag-Leffler Function regularity well-posedness inverse problems ordinary differential equations Fractional ODEs Hilbert Space Theory Fractional Laplacian Wright function