Fundamental solutions of the fractional diffusion and the fractional Fokker–Planck equations

Fundamental solutions of the fractional diffusion and the fractional Fokker–Planck equations

The solutions of the space–time fractional diffusion equations and that of the space–time fractional Fokker–Planck equation are probabilities evolving in time and stable in the sense of Lévy. The fundamental solution, Green function, of the space–time fractional diffusion equation, is early obtained...

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Bibliographic Details
Main Author: E.A. Abdel-Rehim
Format: Article
Language:English
Published: SpringerOpen 2016-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
α-Stable distribution
Green function
Similarity variable
Feller operator
Scale invariant method
Fractional diffusion equations
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X15000711

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http://www.sciencedirect.com/science/article/pii/S1110256X15000711

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