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- Title
A New Analytical Series Solution with Convergence for Non-linear Fractional Lienard's Equations with Caputo Fractional Derivative.
- Authors
KHALOUTA, ALI
- 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.
- Publication
Kyungpook Mathematical Journal, 2022, Vol 62, Issue 3, p583
- ISSN
1225-6951
- Publication type
Academic Journal
- DOI
10.5666/KMJ.2022.62.3.583