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

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

引用次数: 5

Abstract

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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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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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

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