定义了ψ-分数阶微分系统的Lyapunov指数

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL Journal of Computational and Nonlinear Dynamics Pub Date : 2023-03-06 DOI:10.1115/1.4057041

N'Gbo N'Gbo, Jianhua Tang

{"title":"定义了ψ-分数阶微分系统的Lyapunov指数","authors":"N'Gbo N'Gbo, Jianhua Tang","doi":"10.1115/1.4057041","DOIUrl":null,"url":null,"abstract":"\n In this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann-Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are also presented to demonstrate the efficiency of our results.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Define the Lyapunov Exponents for ψ-Fractional Differential System\",\"authors\":\"N'Gbo N'Gbo, Jianhua Tang\",\"doi\":\"10.1115/1.4057041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n In this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann-Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are also presented to demonstrate the efficiency of our results.\",\"PeriodicalId\":54858,\"journal\":{\"name\":\"Journal of Computational and Nonlinear Dynamics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational and Nonlinear Dynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1115/1.4057041\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Nonlinear Dynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4057041","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: 1

摘要

本文主要研究分数阶微分系统解的渐近性与初值敏感性之间的关系。为了研究这个问题，我们考虑了ψ分数微积分，它被认为是Riemann-Liouville和Hadamard微积分的推广。为此，我们定义了ψ-分数阶微分系统的Lyapunov指数，并估计了它们的上界。最后通过实例验证了算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Define the Lyapunov Exponents for ψ-Fractional Differential System

In this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann-Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are also presented to demonstrate the efficiency of our results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.