非局部条件下Hilfer分数阶随机微分方程的零可控性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/naco.2022029

D. Chalishajar, K. Ravikumar, K. Ramkumar, A. Anguraj

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引用次数: 4

摘要

研究一类由分数阶布朗运动控制的非局部Hilfer分数阶随机微分方程。利用分数阶微积分、不动点理论和解算算子理论，研究了该随机设置的精确零可控性的新充分条件。导出的结果是新的，因为它推广了以前发表的几个结果。然而，用随机偏微分方程的实例证明了所得结果，说明了零可控性目前的应用特点。通过一个过滤器实例，说明了解析算子的实际应用。

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Null controllability of Hilfer fractional stochastic differential equations with nonlocal conditions

This paper assesses a class of nonlocal Hilfer fractional stochastic differential equations (NHFSDEs) governed by fractional Brownian motion (fBm). New sufficient condition of exact null controllability for this stochastic setting has been investigated using fractional calculus, fixed point theory and a theory of resolvent operator. The derived result is new because it generalizes several of previously published results. However, the obtained results are proven by an illustration using stochastic partial differential equations to demonstrate the present application characteristic of null controllability. A filter example is demonstrated to make use of resolvent operator in a practical way.

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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.