Vetenskap & teknik
Pocket
Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Sabir Umarov
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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.
- Format: Pocket/Paperback
- ISBN: 9783319368467
- Språk: Engelska
- Antal sidor: 434
- Utgivningsdatum: 2016-10-22
- Förlag: Springer International Publishing AG