Computational Analysis of Fractional Liénard's Equation with Exponential Memory

Abstract

The fractional model of Liénard's equations is very useful in the study of oscillating circuits. The main aim of this article is to investigate a fractional extension of Liénard's equation by using a fractional operator with exponential kernel. A user friendly analytical algorithm is suggested to obtain the solutions of fractional model of Liénard's equation. The considered computational technique is a combination of q-homotopy analysis method and a relatively new integral transform. The outcomes of the investigation presented in graphical and tabular forms, which reveal that the suggested computational scheme is very accurate and useful for handling such type of fractional order nonlinear mathematical models.