Block pulse operational matrix method for solving fractional partial differential equation

In this paper, we first introduce two dimensional block pulse functions and the block pulse operational matrices of the fractional order integration. Also the block pulse operational matrices of the fractional order differentiation are obtained. Then we present a computational method based on the above results for solving a class of fractional partial differential equations. Transforming the initial equation into a Sylvester equation. The error analysis of the method is given. The method is computationally attractive and applications are demonstrated by some numerical examples. Moreover, comparing the methodology with the known technique shows that our approach is more efficient and more convenient.