Local Fractional Operator on Quadratic Riccati Differential Equation with Variable Coefficients

摘要

In this paper, approximate-analytical solutions of time-fractional Riccati differential equations (TFRDEs) with variable coefficients are considered via the application of local fractional operator (LFO) in the sense of Caputo derivative. The proposed semi-analytical technique is built on the basis of the standard Differential Transform Method (DTM). The approximate solutions are provided in the form of convergent series. This shows that the solution technique is very efficient, and reliable; as it does not require much computational work, even without given up accuracy.