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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols (Repost)

Posted By: step778
Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols (Repost)

Sabir Umarov, "Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols"
English | 2015 | pages: 446 | ISBN: 3319207709 | PDF | 4,7 mb

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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