An investigation of fractional Riccati differential equation

An accurate semi-analytical method to solve fractional Riccati differential equation (FRDE) with constant coefficients is presented. We predict some properties of the fractional derivative of solution of an FRDE and by introducing a semi-analytical method its solution is obtained. This solution has all properties which we have predicted. Accuracy and efficiency of the presented method are shown by solving some examples. Comparison with the other methods shows that our method works very well. Further, numerical stability investigation shows that the presented semi-analytical method is a stable algorithm.

Fractional Riccati differential equation; Caputo sense derivative; Volterra integral equation