Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-06 DOI:10.1515/ijnsns-2021-0479

C. Dineshkumar, V. Vijayakumar, R. Udhayakumar, A. Shukla, K. Nisar

引用次数: 4

Abstract

Abstract The main motivation of our conversation is the existence and approximate controllability for fractional stochastic Volterra–Fredholm integro-differential systems having order 1 < r < 2. The primary outcomes are obtained by applying concepts and ideas from fractional calculus, multivalued maps, the theory of cosine family, Martelli and Dhage, and Leray–Schauder fixed point techniques. We begin by emphasizing the existence, and then demonstrate the approximate controllability of the considered system. Additionally, we determine the approximate controllability outcomes for the system with infinite delay. At last, an application is established for drawing the theoretical conclusions of primary outcomes.

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1 < r < 2阶的分数阶随机Volterra-Fredholm积分-微分系统的可控性讨论

摘要本文讨论阶为1 < r < 2的分数阶随机Volterra-Fredholm积分微分系统的存在性和近似可控性。主要结果是应用分数阶微积分、多值映射、余弦族理论、Martelli和Dhage以及Leray-Schauder不动点技术的概念和思想得到的。我们首先强调存在性，然后证明所考虑的系统的近似可控性。此外，我们还确定了具有无限延迟的系统的近似可控性结果。最后，建立了一个应用程序来得出主要结果的理论结论。

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

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.