涉及混合Riemann-Liouville和Caputo分数阶导数的Riemann-Stieltjes积分边值问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.11

B. Ahmad, Y. Alruwaily, A. Alsaedi, S. Ntouyas

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引用次数: 6

摘要

本文给出了具有非共轭Riemann-Stieltjes积分多点边界条件的含有Riemann-Liouville和Caputo导数的分数阶积分微分方程解的存在唯一性。我们的结果是应用现代功能分析方法得到的。为了说明我们的结果，我们构造了一些例子。

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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Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives

In this paper, we present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions. Our results are obtained by applying the modern methods of functional analysis. Examples are constructed for the illustration of our 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.