Exponential differential operators for singular integral equations and space fractional 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.

Keywords

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