Sobolev型分数阶随机Volterra—Fredholm积分微分系统的最优控制结果 ∈ （1， 2）通过行业运营商

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-02-22 DOI:10.1080/01630563.2023.2180645

M. Johnson, V. Vijayakumar

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引用次数: 5

摘要

摘要本文的目的是研究Hilbert空间中具有扇形算子的Sobolev型分数阶随机Volterra—Fredholm积分微分系统的最优控制结果。首先，我们利用分数微积分、随机分析理论和Schauder不动点定理证明了温和解的存在性。接下来，我们证明了给定系统的最优控制对的存在性。最后，通过算例说明了该理论的应用。

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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Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators

Abstract The objective of this paper is to investigate the optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order with sectorial operators in Hilbert spaces. Initially, we prove the existence of mild solutions by using fractional calculus, stochastic analysis theory, and the Schauder’s fixed point theorem. Next, we demonstrate the existence of optimal control pairs for the given system. Finally, an example is included to show the applications of the developed theory.

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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.

Sobolev型分数阶随机Volterra—Fredholm积分微分系统的最优控制结果 ∈ （1， 2） 通过行业运营商

摘要

Sobolev型分数阶随机Volterra—Fredholm积分微分系统的最优控制结果 ∈ （1， 2）通过行业运营商