Solution of Nonlinear Fractional Differential ‎Equations containing Caputo Derivative

Abstract

In this paper, Adomian decomposition method (ADM) will apply to solve nonlinear fractional differential equations (FDEs) of Caputo sense. These type of equations is very important in engineering applications. Existence and uniqueness of the solution will prove. The convergence of the series solution and the error analysis will discuss. Some numerical examples will solve to test the validity of the method and the given theorems.