An efficient method for solving fractional Ricatti equations

Abstract

Abstract In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the fractional derivative. We present two examples. The results show the agreement between the exact and the approximate solutions with different choices of γ. Form the numerical results; we see that the proposed method give accurate results.

Keywords

• ABFD
• Fractional Ricatti equation
• Fractional Legendre functions