A study of a nonlinear Riemann–Liouville coupled integro-differential system with coupled nonlocal fractional integro-multipoint boundary conditions

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-10-13 DOI:10.1515/ijnsns-2021-0271
B. Ahmad, A. Alsaedi, Badra S. Alghamdi
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Abstract

Abstract We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann–Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann–Liouville fractional integrals is also discussed. Examples illustrating the obtained results are presented.
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具有非局部分数积分多点耦合边界条件的非线性Riemann-Liouville耦合积分-微分系统的研究
讨论了一类具有非局部分数积分多点耦合边界条件的非线性耦合Riemann-Liouville分数积分微分方程边值问题解的存在性。现代功能分析的标准工具被用来得出当前问题的期望结果。讨论了黎曼-刘维尔分数阶积分的非线性情况。举例说明了所得结果。
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来源期刊
Accounts of Chemical Research
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.
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