University of TabrizComputational Methods for Differential Equations2345-39829120210101Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process2582721032110.22034/cmde.2019.30717.1458ENRezaHejaziFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.AzadehNaderifardFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.SoleimanHosseinpourFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.ElhamDastranjFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.Journal Article20181204In this paper, a type of time-fractional Fokker-Planck equation (FPE) of the OrnsteinUhlenbeck process is solved via Riemann-Liouville and Caputo derivatives. An analytical method based on symmetry operators is used for finding reduced form and exact solutions of the equation. A numerical simulation based on the M¨untz-Legendre polynomials is applied in order to find some approximated solutions of the equation.https://cmde.tabrizu.ac.ir/article_10321_f3c588d6b4e5567e7503c9d4ba81bb28.pdf