A numerical solution for variable order fractional functional differential equation

This paper is concerned with an efficient numerical scheme for variable order fractional functional boundary value problems. The algorithm relies on the simplified reproducing kernel method (SRKM). The convergence of the method is proven, followed by estimates on approximate solution. A numerical example with exact solutions is studied to demonstrate the performance of the method. Results obtained by the method indicate the algorithm performs extremely well in terms of accuracy, efficiency and simplicity.