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.
- | Author: Sabir Umarov
- | Publisher: Springer
- | Publication Date: Oct 22, 2016
- | Number of Pages: 434 pages
- | Binding: Paperback or Softback
- | ISBN-10: 331936846X
- | ISBN-13: 9783319368467
