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Mathematics 2018, 6(1), 1; doi:10.3390/math6010001

A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method

Department of Mathematical Sciences, United Arab Emirates University, Al-Ain 15551, United Arab Emirates
Received: 1 October 2017 / Revised: 19 November 2017 / Accepted: 21 November 2017 / Published: 22 December 2017
(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications)
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Abstract

In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented. View Full-Text
Keywords: Lienard’s equation; Caputo derivative; Taylor series; residual power series (RPS) Lienard’s equation; Caputo derivative; Taylor series; residual power series (RPS)
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Syam, M.I. A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method. Mathematics 2018, 6, 1.

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