Solving fractional Bratu's equations using a semi-analytical technique

Abstract

Finding the solution of the fractional Bratu’s differential equations (FBDEs) in this paper is based on a semi-analytical iterative approach. Temimi and Ansari introduced this method and called it TAM. Three examples, with their approximate solutions, are presented in this way to show its suitability, convenience, simplicity and efficiency. The results demonstrate that the advantage of this method to other methods is that there are no limiting conditions for nonlinear fractional differential equations with initial conditions or boundary conditions. Regarding the help of the software M athematica, all the results have been obtained and the calculations have been done.