通过非紧密性度量哈达玛德型分数函数积分方程解的存在性

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-11-08 DOI:10.1007/s11565-024-00569-7

Rakesh Kumar, Satish Kumar, Bhupander Singh, Hamid Reza Sahebi

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引用次数: 0

摘要

本文研究在巴拿赫代数（C([1, c]), c >0\）中哈达玛型分数函数积分方程的可解性。我们利用 Darbo 定点定理结合非紧凑性度量作为主要工具。值得注意的是，我们的存在性结果包含并概括了以往文献中的各种发现。为了证明我们的方法的适用性，我们举了一个详细的例子来突出它的有效性。

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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Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness

In this paper, we study the solvability for fractional functional integral equations of Hadamard-type within the Banach algebra \(C([1, c]), c > 0\). We utilize the Darbo’s fixed point theorem combined with the measure of non-compactness as the main tool. Notably, our existence results encompass and generalize various findings documented in previous literature. To demonstrate the applicability of our approach, we present a detailed example highlighting its effectiveness.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.