SOLUTION OF THE FRACTIONAL BRATU-TYPE EQUATION VIA FRACTIONAL RESIDUAL POWER SERIES METHOD

Abstract

In this paper, we present numerical solution for fractional Bratu-type equation via fractional residual power series method (FRPSM). The fractional derivatives are described in Caputo sense. The advantage of this method compare with the existing methods is, that method solves the nonlinear problems without using linearization and any other restriction. Three numerical examples are given and the results are compared with the exact solutions both numerically and graphically. The results reveal that FRPSM is very effective simple and efficient technique to handle a wide range of fractional di¤erential equations.