An optimized method for solving fractional boundary value problems with variable order

In this paper, an optimized method based on polynomials is proposed for solving fractional boundary value problems (FBVPs) with variable order. To do this, a general polynomial of degree m with unknown coefficients is considered as an approximate solution for the problem under study. By using the boundary conditions some of these unknown coefficients are obtained. Finally the rest of these unknown coefficients are obtained optimally by minimizing the error of the approximate solution. In order to demonstrate the efficiency and .accuracy of the proposed method some numerical examples are given