Introduction To Fractional And Pseudo Differential Equations With Singular Symbols
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Author | : Sabir Umarov |
Publisher | : Springer |
Total Pages | : 446 |
Release | : 2015-08-18 |
Genre | : Mathematics |
ISBN | : 3319207717 |
Download Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols Book in PDF, Epub and Kindle
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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