Exponential differential operators for singular integral equations and space fractional Fokker-Planck equation

Arman Aghili; Joubine Aghili

doi:10.5269/bspm.v36i1.30959

Autores/as

Arman Aghili University of Guilan
Joubine Aghili University of Montpellier II

DOI:

https://doi.org/10.5269/bspm.v36i1.30959

Palabras clave:

Fractional partial differential equations, Riemann – Liouville fractional derivative, Nonlinear differential equations, Laplace transforms, Fokker-Planck equation

Resumen

In this article, it is shown that the combined use of exponential operators and integral transform provides a powerful tool to solve certain type of fractional PDEs. It is shown that exponential operators are powerful and effective method for solving certain differential equations and fractional Fokker-Planck equations with non-constant coefficients. Constructive examples are also provided.

Biografía del autor/a

Arman Aghili, University of Guilan

Department of Applied Mathematics Faculty of Mathematical Sciences,
University of Guilan, P.O.Box, 1841, Rasht
Joubine Aghili, University of Montpellier II

Department of Mathematics