Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols (Paperback) (ISBN-13: 9783319368467)

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
ISBN-10: 331936846X
ISBN-13: 9783319368467
Publisher: Springer
Language: English
Published: 10/22/2016
Pages: 434
Format: Paperback
Weight: 1.38lbs
Size: 9.21h x 6.14w x 0.91d