عنوان
پدید آورنده
موضوع
رده
QA329.7 .F65U45 2015
QA329
.
7
.
F65U45
2015
کتابخانه
محل استقرار
9783319207704
IR
10369
انگلیسی
IR
Introduction to fractional and pseudo-differential equations with singular symbols
[Book]
/ Sabir Umarov
Cham
: SPRINGER
, 2015
XVI, 434 pages 2 illustrations
Developments in Mathematics, 1389-2177 ; 41
Language: انگلیسی
Print
INDEX
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.
0
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.
Encyclopaedia of mathematical sciences. Probability theory
Differential equations, Partial.
Distribution (Probability theory)
QA329
.
7
.
F65U45
2015
Umarov, Sabir
ایران
دانشگاه محقق اردبیلی
20231204
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BL
270410
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