Optimal solutions of the time-fractional Fokker–Planck equations

This article investigates the comparative analysis of the time-fractional Fokker-plank equation (TFFPE), a mathematical model used in biological and physical sciences. In this work, we used two different methods for analytical solution of the model time-fractional Fokker-plank equation (TFFPE), namely optimal homotopy asymptotic method (OHAM) and optimal auxiliary fractional method (OAFM). The obtained results analyzed analytically and graphically to demonstrate the efficiency and applicability of the applied methods, as well as to investigate the effects of partial arrangement on the behavior of the solutions. Its results indicate that the used methods are effective and accurate for solving fractional order differential equations. These methods applied for the TFFPE model are simple and efficient, allowing us to fully recognize the analytical solutions to both linear and nonlinear fractional differential equations.