Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

by Sabir Umarov

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 331936846X
• ISBN13: 9783319368467
• Release Date: October 2016
• Publisher: Springer
• Length: 434 Pages
• Weight: 1.38 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"