%0 Journal Article
%T A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials
%J Computational Mathematics and Computer Modeling with Applications (CMCMA)
%I Shahid Beheshti University
%Z 2783-4859
%A Sabermahani, Sedigheh
%A Ordokhani, Yadollah
%D 2022
%\ 12/01/2022
%V 1
%N 2
%P 65-73
%! A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials
%K Fractional-order Fokker-Planck equations
%K Touchard polynomials
%K Pseudo-operational matrix
%R 10.52547/CMCMA.1.2.65
%X 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.
%U https://cmcma.sbu.ac.ir/article_103191_a65a15a361eef420f4621f235599453b.pdf