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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.

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Series Title
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Call Number
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Publisher
Cham, Switzerland : .,
Collation
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Language
English
ISBN/ISSN
978-3-319-20771-1
Classification
NONE
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Edition
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Subject(s)
Computational Physics
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Cataloger
Kholif Basri
Source
https://link.springer.com/book/10.1007/978-3-319-20771-1
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