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

Authors

  • Arman Aghili University of Guilan
  • Joubine Aghili University of Montpellier II

DOI:

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

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.

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

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Published

2018-01-01

Issue

Vol. 36 No. 1 (2018)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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