In this paper, we will introduce an approximate solution of nonhomogeneous Riccati matrix differential equations with time delay using one of He’s iterative methods, namely, variational iteration method. The solution of the considered model of the Riccati differential equation are evaluated in the form of a convergent series with iterated components and also derive the sequence of variational iteration formula and prove it convergent. In addition, illustrative examples are considered and solved in connection with the method of steps for solving delay differential equation.
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