指数记忆分数阶lisamadard方程的计算分析

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-02-08 DOI:10.1115/1.4056858

Jagdev Singh, A. Alshehri, Sushila Rathore, Devendra Kumar

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引用次数: 0

摘要

lisamadard方程的分数阶模型在振荡电路的研究中是非常有用的。本文的主要目的是利用带指数核的分数算子研究lisamadard方程的分数扩展。提出了一种易于使用的解析算法来求解lisamadard方程的分数阶模型。所考虑的计算技术是将q-同伦分析方法与一种较新的积分变换相结合。研究结果以图表和表格的形式呈现，表明所建议的计算方案对于处理这类分数阶非线性数学模型是非常准确和有用的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Computational Analysis of Fractional Liénard's Equation with Exponential Memory

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.

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.