Abstract
The study of optimal control problems (OCPs) are of great importance in our day life. In literature, there are many articles on the numerical solutions of OCPs on different mathematical methods. In this paper we are supposed to have the numerical solution of a fractional OCP by the help of operational matrices of Bernstein polynomials(BPs). Operational matrices of BPs are one of the most popular numerical approach for this study. This approach is quite simple in handling and very good results have been observed in literature by the virtue of this method. The simplicity and efficiency of the proposed method is checked on some illustrative examples.