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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Hardcover

Series: Developments in Mathematics, Book 41

General MathematicsProbability & Statistics

ISBN10: 3319207709
ISBN13: 9783319207704
Publisher: Springer Nature
Published: Aug 27 2015
Pages: 434
Weight: 1.78
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English
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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