通过非紧凑性度量概念看待序列Ψ-卡普托微分方程的新态度

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-05 DOI:10.1186/s13660-024-03188-0

Bahram Agheli, Rahmat Darzi

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引用次数: 0

摘要

本文探讨了由Ψ-卡普托分数导数和Ψ-黎曼-利乌维尔分数积分组成的一对非线性分数积分微分方程解的存在性和唯一性。这些方程受制于非局部边界条件和可变系数。我们的研究成果借鉴了米塔格-勒弗勒函数、巴本科态度、凝缩映射的拓扑度理论和巴拿赫收缩原理。为了进一步阐明我们的主要成果，我们提出了两个说明性例子。

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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New attitude on sequential Ψ-Caputo differential equations via concept of measures of noncompactness

In this paper, we have explored the existence and uniqueness of solutions for a pair of nonlinear fractional integro-differential equations comprising of the Ψ-Caputo fractional derivative and the Ψ-Riemann–Liouville fractional integral. These equations are subject to nonlocal boundary conditions and a variable coefficient. Our findings are drawn upon the Mittage–Leffler function, Babenko’s attitude, and topological degree theory for condensing maps and the Banach contraction principle. To further elucidate our principal outcomes, we have presented two illustrative examples.

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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.