Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

• Main Author: Umarov, Sabir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Developments in Mathematics, 41
• Subjects: Mathematics.; Fourier analysis.; Partial differential equations.; Probabilities.; Statistical physics.; Dynamical systems.; Partial Differential Equations.; Probability Theory and Stochastic Processes.; Fourier Analysis.; Statistical Physics, Dynamical Systems and Complexity.

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...

Table of Contents:

• 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.