A numerical technique for solving fractional differential equation with the new fractional derivative

We apply a method for solving nonlinear fractional differential equations via a new fractional derivative. Bernstein polynomials (Bps) is used to solve nonlinear fractional equations. This new fractional derivative is without a singular kernel and suggested by Caputo and Fabrizio recently. We use operational matrices of fractional integration and multiplication of Bps, which turns the given problem to a set of algebraic equations. Two illustrative examples are given in order to demonstrate the accuracy and simplicity of the proposed techniques.