Trajectory controllability of nonlinear fractional Langevin systems

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-05 DOI:10.1515/ijnsns-2021-0358

Govindaraj Venkatesan, Suresh Kumar Pitchaikkannu

引用次数: 1

Abstract

Abstract In this paper, we discuss the trajectory controllability of linear and nonlinear fractional Langevin dynamical systems represented by the Caputo fractional derivative by using the Mittag–Leffler function and Gronwall–Bellman inequality. For the nonlinear system, we assume Lipschitz-type conditions on the nonlinearity. Examples are given to illustrate the theoretical results.

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非线性分式Langevin系统的轨迹可控性

摘要本文利用Mittag–Leffler函数和Gronwall–Bellman不等式，讨论了以Caputo分数导数表示的线性和非线性分数Langevin动力系统的轨迹可控性。对于非线性系统，我们假定非线性的Lipschitz型条件。举例说明了理论结果。

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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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.