Bernstein polynomials based-solution for linear fractional differential equations

In this paper, a numerical approximation for the solution of linear fractional differential equations, based on Galerkin method and Bernstein polynomials, is proposed. A system of linear equations is obtained and the coefficients of Bernstein polynomials, whose linear combination is used to approximate the solution, are determined. Matrix formulation is used throughout the whole procedure. The accuracy of the proposed technique has been evaluated via different degrees of Bernstein polynomials.