Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

von Sabir Umarov

434 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Developments in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Differentialrechnung und -gleichungen
• ISBN: 9783319207704
• Sprache: Englisch
• Erscheinungsdatum: 27.08.2015
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing