非局部分数控制系统的近似可控性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-05 DOI:10.1007/s12346-024-01091-z

Kamla Kant Mishra, Shruti Dubey

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引用次数: 0

摘要

本文旨在为巴拿赫空间中由非线性分数演化微分方程描述的延迟控制系统找到温和的解决方案，同时使其受到非局部条件的限制。此外，我们还探讨了非线性分数控制系统近似可控性的充分条件，前提是相关线性系统是近似可控的。最后，我们提供了一些应用来证明我们提出的结果。

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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Approximate Controllability of Nonlocal Fractional Control System

In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach spaces while being subjected to nonlocal conditions. Further, we explore the sufficient conditions for the approximate controllability of the nonlinear fractional control system, assuming that the associated linear system is approximately controllable. We provide some applications at the end to demonstrate our proposed results.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.