A novel representation of numerical solution for fractional Bratu-type equation

In this paper, we give a novel representation of numerical solution for fractional Bratu-type equation using a recent and reliable method, namely the general fractional residual power series method (GFRPSM). 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 GFRPSM is very effective simple and efficient technique to handle a wide range of nonlinear fractional differential equations.