A numerical method for solving singular Riccati equation with fractional order by modified fractional power series method

Abstract

In this paper, we study the singular Riccati equation with fractional order. The modified fractional power series method (MFPS) is used to solve the proposed problem. The validity of the MFPS method is ascertained by presenting several examples. We prove the existence of the solution of the Riccati equation with fractional order. The convergence of the approximate solution using the proposed method is investigated. Theoretical and numerical results are presented.