A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials

Document Type : Regular paper


Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran


This manuscript presents a new approximation method for fractional-order Fokker-Planck equations based on Touchard polynomial approximation. We provide new Caputo and extra Caputo pseudo-operational matrices for these polynomials. Then, utilizing mentioned pseudo-operational matrices and an optimal method, the considered equation leads to a system of algebraic equations which can be solved by mathematical software. Finally, we illustrate the advantages of the suggested technique through several numerical examples.


Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 65-73
  • Receive Date: 17 October 2022
  • Revise Date: 26 January 2023
  • Accept Date: 16 February 2023
  • First Publish Date: 16 February 2023