Existence and Uniqueness of the Solution of Non-Linear Systems of Volterra Integral Equations of the Second Kind

Two problems will be discussed in this paper, the proof of existence and uniqueness of the solution of systems of Volterra integral equations of the second kind (SVIESK), as the novelty of this paper, and employment of variational iteration approach to solve these systems. To illustrate the ability of the method some examples are presented. Results reveal the effectiveness of the technique.