Numerical Solution for the time-fractional Fokker-Planck equation Using Fractional Power Series Method and The shifted Chebyshev polynomials of the third kind

摘要

This paper presents a numerical method for solving the time-fractional Fokker-Planck equation. We use a fractional power series method (FPSM) and the properties of the Chebyshev polynomials of the third kind to obtain the approximate solution of the fractional Fokker-Planck equation. The obtained results of the FFPE show the simplicity and the efficiency of the proposed methods.