Homotopy perturbation method for solving fractional Bratu-type equation

Abstract

In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modi ed Riemann-Liouville sense. The results show that the proposed method is very e cient and convenient and can readily be applied to a large class of fractional problems.