Solution of Coupled System of Cauchy Problem of Nonlocal Differential Equations E. A. A. Ziada

Abstract

In this paper, we apply the Adomian decomposition method (ADM) for solving a coupled system of nonlocal Cauchy problem of di¤erential equations. The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Two examples are given in order to illustrate our results.