Jagdev Singh, A. Alshehri, Sushila Rathore, Devendra Kumar
{"title":"Computational Analysis of Fractional Liénard's Equation with Exponential Memory","authors":"Jagdev Singh, A. Alshehri, Sushila Rathore, Devendra Kumar","doi":"10.1115/1.4056858","DOIUrl":null,"url":null,"abstract":"\n 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.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"87 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Nonlinear Dynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4056858","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
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.
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.