Controllability of coupled fractional integrodifferential equations

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-07-08 DOI:10.1515/ijnsns-2022-0015

H. Waheed, A. Zada, R. Rizwan, I. Popa

引用次数: 1

Abstract

Abstract In this article, we examine a coupled system of fractional integrodifferential equations of Liouville–Caputo form with instantaneous impulsive conditions in a Banach space. We obtain the existence and uniqueness results by applying the theory of fixed point theorems. In a similar manner, we discuss Hyers–Ulam stability and controllability. We also present an example to show the validity of the obtained results.

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耦合分数阶积分微分方程的可控性

摘要在本文中，我们研究了Banach空间中具有瞬时脉冲条件的Liouville–Caputo形式的分数阶积分微分方程的耦合系统。应用不动点定理得到了存在唯一性的结果。以类似的方式，我们讨论了Hyers–Ulam的稳定性和可控性。我们还举了一个例子来证明所获得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.