Solving special systems of integral equations by using Sumudu transform with a semi-analytical method

In this paper, specific forms of non-linear systems of integral equations have been solved using the Sumudu transform and the Adomian decomposition method. To illustrate the method, three examples of various forms in this class of functional equations have been developed. The method has produced an approximate-exact solution for several systems. The method's accuracy, efficiency, and simplicity are demonstrated by the results of applying it to various systems of these kinds of integral equations.