论一类卡图冈波拉分数系统的最佳可控性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-05 DOI:10.1186/s13660-024-03153-x

Xianghu Liu, Yanfang Li

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引用次数: 0

摘要

本研究的核心是涉及卡图冈波拉分数导数的微分方程的最优可控性。通过扩展具有奇异核的格伦沃尔不等式，我们得出了最优可控性的必要条件和充分条件。此外，我们还利用巴拿赫定点定理和广义拉普拉斯变换建立了确保温和解的存在性和唯一性的条件。为了强调我们发现的实际意义，我们提供了一个示例。

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On the optimal controllability for a class of Katugampola fractional systems

This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability by extending Gronwall’s inequality with singular kernels. Furthermore, we establish conditions ensuring the existence and uniqueness of mild solutions using the Banach fixed-point theorem and the generalized Laplace transform. To underscore the practical relevance of our findings, we provide an illustrative example.

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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.