Mittag-Leffler Function Method For Solving Nonlinear Riccati Differential Equation With Fractional Order

P.L. Suresh1, D. Piriadarshani2ORIC ID
1Department of Applied Sciences & Humanities, Sasi Institute of Technology & Engineering, Tadepalligudem – 534101, AP, India.
2Department of Mathematics, Hindustan Institute of Technology and Science, Chennai – 603 103, India.

Abstract

In this Paper, we establish a new application of the Mittag-Lefier Function method that will enlarge the application to the non linear Riccati Differential equations with fractional order. This method provides results that converge promptly to the exact solution. The description of fractional derivatives is made in the Caputo sense. To emphasize the consistency of the approach, few illustrations are presented to support the outcomes. The outcomes declare that the procedure is very constructive and relavent for determining non linear Ricati differential equations of fractional order.

Keywords: Mittag-Leffler Function method, Riccati differential equation.