Introduction to fractional and pseudo-differential equations with singular symbols
General Material Designation
[Book]
First Statement of Responsibility
/ Sabir Umarov
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: SPRINGER
Date of Publication, Distribution, etc.
, 2015
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XVI, 434 pages 2 illustrations
SERIES
Series Title
Developments in Mathematics, 1389-2177 ; 41
GENERAL NOTES
Text of Note
Language: انگلیسی
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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INDEX
CONTENTS NOTE
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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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SUMMARY OR ABSTRACT
Text of Note
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.
TOPICAL NAME USED AS SUBJECT
Entry Element
Encyclopaedia of mathematical sciences. Probability theory