The Adomian decomposition method is proposed to solve fractional Bratu-type equations. The iteration procedure is based on a fractional Taylor series. Three examples are illustrated to show the presented method's efficiency and convenience.

The present study aimed at solving the stochastic generalized fractional diffusion equation (SGFDE) by means of the random finite difference method (FDM). Moreover, the conditions of mean square convergence of the numerical solution are studied and numerical examples are presented to demonstrate the validity and accuracy of the method.