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Introduction to fractional and pseud...

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Introduction to fractional and pseudo-differential equations with singular symbols

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to fractional and pseudo-differential equations with singular symbolsby Sabir Umarov.
Author:	Umarov, Sabir.
Published:	Cham :Springer International Publishing :2015.
Description:	xvi, 434 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Difference equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-20771-1
ISBN:	9783319207711$q(electronic bk.)

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. - Cham :Springer International Publishing :2015. - xvi, 434 p. :ill., digital ;24 cm. - Developments in mathematics,v.411389-2177 ;. - Developments in mathematics ;v.25..

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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-20771-1doiSubjects--Uniform Titles:

Encyclopaedia of mathematical sciences.
--Probability theory.Subjects--Topical Terms:

185958
Difference equations.

LC Class. No.: QA431

Dewey Class. No.: 515.625

Introduction to fractional and pseudo-differential equations with singular symbols
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520 $a 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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