Existence of solutions for infinite nonlinear (p, q)-integral equations

IF 2.4 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2026-10-01 Epub Date: 2026-02-22 DOI:10.1016/j.cam.2026.117489

Hamid Reza Sahebi , Manochehr Kazemi , Bipan Hazarika

引用次数: 0

Abstract

In this work, we investigate the existence of solutions for an infinite system of nonlinear (p, q)-integral equations within the framework of Banach spaces. Utilizing the concept of measure of noncompactness and Petryshyn’s fixed point theorem, we derive a set of sufficient conditions under which the system admits at least one solution. The methodology integrates the structure of generalized (p, q)-calculus with operator-theoretic techniques to handle infinite-dimensional behavior effectively. The analytical framework is complemented by illustrative examples that demonstrate the validity and applicability of the main results.

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无穷非线性(p, q)-积分方程解的存在性

在这项工作中，我们研究了Banach空间框架内非线性(p, q)-积分方程无穷系统解的存在性。利用非紧测度的概念和Petryshyn不动点定理，导出了系统至少存在一个解的充分条件。该方法将广义(p, q)-微积分的结构与算子理论技术相结合，有效地处理了无限维行为。分析框架辅以举例说明，证明了主要结果的有效性和适用性。

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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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.