Abstract: In this paper we introduced a new approach to solve fractional order Riccati differential equation that called Adomian Decomposition Method- Restrictive Padé (ADM-RP) which is anew fast and efficient method that approximate the series solution given by ADM to a fraction function called Restrictive Padé approximation using mathematica package the solution by ADM-RP gives better solution.

Keywords: ADM- Restrictive Padé- Fractional Differential Equation- Riccati Differential Equation