Shahid Beheshti UniversityComputational Mathematics and Computer Modeling with Applications (CMCMA)2783-48591220221201A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials657310319110.52547/CMCMA.1.2.65ENSedigheh SabermahaniDepartment of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran0000-0002-7320-8908Yadollah OrdokhaniDepartment of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, IranJournal Article20221017This 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.https://cmcma.sbu.ac.ir/article_103191_a65a15a361eef420f4621f235599453b.pdf