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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols/ by Sabir Umarov.
Author:	Umarov, Sabir.
Description:	XVI, 434 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-20771-1
ISBN:	9783319207711

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Umarov, Sabir.

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols[electronic resource] /by Sabir Umarov. - 1st ed. 2015. - XVI, 434 p. 2 illus.online resource. - Developments in Mathematics,411389-2177 ;. - Developments in Mathematics,41.

Function Spaces and Distributions -- Pseudo-Differential Operators with Singular Symbols (DOSS) -- Fractional Calculus and Fractional Order Operators -- Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols -- Initial and Boundary Value Problems for Fractional Order Differential Equations -- Distributed and Variable Order Differential-Operator Equations -- Fractional Fokker-Planck-Kolmogorov Equations -- Random Walk Approximants of Mixed and Time-Changed Levy Processes -- Complex DOSS and Systems of Complex Differential Equations -- References.

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.

ISBN: 9783319207711

Standard No.: 10.1007/978-3-319-20771-1doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
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