<p>In this study, an efficient technique based on second kind shifted Chebyshev residual power series method is proposed to solve Fokker Planck models with time-fractional. The time-fractional derivative is considered in Caputo operator. By utilization shifted Chebyshev polynomials of the second kind and their orthogonality properties, the problem will be transformed into system of fractional ordinary differential equations which can be solved by using residual power series method with the help of initial and boundary conditions. We discussed convergence and error analysis of the solution. Numerical results have shown that the proposed technique is simple, very effective, and applicable to a wide range of complex models that arise physical phenomena in various fields.</p>