Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Produktnummer:
18c49828e6b23a428393d21e23c9fa0bdd
| Autor: | Umarov, Sabir |
|---|---|
| Themengebiete: | Complex Fourier Transform Fokker-Planck-Kolmogorov Equations Fractional Differential Equations Levy Processes Pseudo-Differential Equations partial differential equations |
| Veröffentlichungsdatum: | 27.08.2015 |
| EAN: | 9783319207704 |
| Sprache: | Englisch |
| Seitenzahl: | 434 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
Produktinformationen "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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