多项时间分数测度微分方程温和解的研究

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-21 DOI:10.1080/00207160.2023.2239943

Haide Gou, Y. Jia

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引用次数: 0

摘要

本文研究了Banach空间中一类具有初始条件的多项时间分数测度微分方程的s渐近ω-周期温和解的存在唯一性。首先，我们利用拉普拉斯变换和-可解族寻找一个适合于我们所关心问题的s渐近ω-周期温和解的概念。其次，利用调节函数和不动点定理，得到了该系统s -渐近ω-周期温和解的存在性;最后，作为抽象结果的应用，给出了一个例子来说明我们的主要结果。

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A study on mild solutions for multi-term time fractional measure differential equations

In this paper, we investigate the existence and uniqueness of the S-asymptotically ω-periodic mild solutions to a class of multi-term time-fractional measure differential equations with initial conditions in Banach spaces. Firstly, we look for a suitable concept of S-asymptotically ω-periodic mild solution to our concerned problem, by means of the Laplace transform and -resolvent family . Secondly, the existence of S-asymptotically ω-periodic mild solutions for the mentioned system is obtained by utilizing regulated functions and fixed point theorem. Finally, as the application of abstract results, an example is given to illustrate our main results.

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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.