Hadamard Fractional Differential Equations on an Unbounded Domain with Integro-initial Conditions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-06 DOI:10.1007/s12346-024-01044-6

Nemat Nyamoradi, Bashir Ahmad

引用次数: 0

Abstract

In this paper, we introduce and investigate a Hadamard-type fractional differential equation on the interval \((1, \infty )\) equipped with a new class of logarithmic type integro-initial conditions. We apply the Leggett–Williams fixed point theorem and the concept of iterative positive solutions to establish the existence of solutions for the problem at hand. Our results are new and enrich the literature on Hadamard-type fractional differential equations on the infinite domain. Examples illustrating the main results are presented.

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带整数初始条件的无界域上的哈达玛分式微分方程

在本文中，我们引入并研究了区间 \((1, \infty )\) 上的哈达玛型分数微分方程，该方程配备了一类新的对数型整数初始条件。我们应用 Leggett-Williams 定点定理和迭代正解的概念来确定手头问题的解的存在性。我们的结果是全新的，丰富了有关无限域上哈达玛型分数微分方程的文献。我们还列举了一些例子来说明主要结果。

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.