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

  • Arman Aghili University of Guilan
  • Joubine Aghili University of Montpellier II
Keywords: Fractional partial differential equations, Riemann – Liouville fractional derivative, Nonlinear differential equations, Laplace transforms, Fokker-Planck equation

Abstract

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.

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Author Biographies

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
Published
2018-01-01
Section
Articles