Computational method based on bernstein operational matrices for multi-order fractional differential equations

Abstract

In this paper, the Bernstein operational matrices are used to obtain solutions of multi-orderfractional differential equations. In this regard we present a theorem which can reduce the nonlinearfractional differential equations to a system of algebraic equations. The fractional derivative consideredhere is in the Caputo sense. Finally, we give several examples by using the proposed method. Theseresults are then compared with the results obtained by using Adomian decomposition method, differentialtransform method and the generalized block pulse operational matrix method. We conclude that our resultscompare well with the results of other methods and the effciency and accuracy of the proposed method isvery good.