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http://dx.doi.org/10.5666/KMJ.2022.62.3.583

A New Analytical Series Solution with Convergence for Nonlinear Fractional Lienard's Equations with Caputo Fractional Derivative  

Khalouta, Ali (Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1)
Publication Information
Kyungpook Mathematical Journal / v.62, no.3, 2022 , pp. 583-593 More about this Journal
Abstract
Lienard's equations are important nonlinear differential equations with application in many areas of applied mathematics. In the present article, a new approach known as the modified fractional Taylor series method (MFTSM) is proposed to solve the nonlinear fractional Lienard equations with Caputo fractional derivatives, and the convergence of this method is established. Numerical examples are given to verify our theoretical results and to illustrate the accuracy and effectiveness of the method. The results obtained show the reliability and efficiency of the MFTSM, suggesting that it can be used to solve other types of nonlinear fractional differential equations that arise in modeling different physical problems.
Keywords
Lienard equation; Caputo fractional derivative; modified fractional Taylor series method; analytical series solution;
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Times Cited By KSCI : 2  (Citation Analysis)
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