Lie symmetry analysis of fractional ordinary differential equation with neutral delay

Abstract

In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group classification of the equation is established. The obtained Lie symmetries are used to construct the exact solutions of the fractional ordinary differential equation with neutral delay.

Keywords

• fractional ordinary differential equation
• neutral delay
• lie symmetry analysis method
• invariant solutions