An Application of Picard Iteration Method to Fractional Quadratic Ricccati Differential Equations

Abstract

In this paper, we present an algorithm of the Picard's Iteration method to solve Fractional Quadratic Riccati differential equations with Caputo-derivatives. The non-linear terms are easily and simply expanded using the traditional method of expansion. Four (4) illustrative examples are given to verify the reliability and efficiency of the method. The approximate solutions obtained compare favorably with the exact solutions and the approximate solutions obtained by other numerical methods in the literature.