Define the Lyapunov Exponents for ψ-Fractional Differential System

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

引用次数: 1

Abstract

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.

查看原文本刊更多论文

定义了ψ-分数阶微分系统的Lyapunov指数

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。

求助全文

约1分钟内获得全文求助全文

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.