E-Book, Englisch, Band 41, 434 Seiten, eBook
Reihe: Developments in Mathematics
Umarov Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
1. Auflage 2015
ISBN: 978-3-319-20771-1
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 41, 434 Seiten, eBook
Reihe: Developments in Mathematics
ISBN: 978-3-319-20771-1
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
