Existence results for generalized 2D fractional partial integro-differential equations

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-05-09 DOI:10.1016/j.cam.2025.116705

Maryam Moghaddamfar , Manochehr Kazemi , Reza Ezzati

引用次数: 0

Abstract

In this paper, we explore the existence of solutions for a Caputo fractional functional partial integro-differential equation using the techniques of measures of non-compactness and the Petryshyn fixed point theorem. We derive some new findings, which include specific results obtained from previous studies under less stringent conditions. Additionally, we also provide examples to illustrate the results we have obtained.

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广义二维分数阶偏积分-微分方程的存在性结果

本文利用非紧性测度技术和Petryshyn不动点定理，研究了一类Caputo分数阶泛函偏积分微分方程解的存在性。我们得出了一些新的发现，其中包括在不太严格的条件下从以前的研究中获得的具体结果。此外，我们还提供了实例来说明我们得到的结果。

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

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.