Hilfer fractional stochastic evolution equations on infinite interval

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-12 DOI:10.1515/ijnsns-2022-0217

Min Yang, Yong Zhou

引用次数: 1

Abstract

Abstract This paper concerns the global existence of mild solutions for a class of Hilfer fractional stochastic evolution equations on infinite interval (0, +∞), while the existing work were considered on finite interval. The main difficulties here are how to construct suitable Banach spaces, proper operator relations, and then how to formulate the new criteria to guarantee the global existence of mild solutions on the previous constructed spaces under non-Lipschitz conditions. We mainly rely on the generalized Ascoli–Arzela theorem we established, Wright function, Schauder’s fixed point principle, and Kuratowski’s measure of noncompactness to handle with the infinite interval problems. Moreover, we give two examples to demonstrate the feasibility and utility of our results.

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无穷区间上的Hilfer分数阶随机演化方程

摘要本文讨论了一类Hilfer分数阶随机演化方程在无穷区间(0，+∞)上温和解的整体存在性，而已有的工作是在有限区间上考虑的。本文的主要难点是如何构造合适的Banach空间，合适的算子关系，以及如何在非lipschitz条件下，构造新的准则来保证先前构造的空间上温和解的整体存在性。我们主要依靠我们建立的广义Ascoli-Arzela定理、Wright函数、Schauder不动点原理和Kuratowski的非紧性测度来处理无限区间问题。此外，我们还给出了两个例子来证明我们的结果的可行性和实用性。

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.