Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-02-27 DOI:10.1186/s13660-024-03102-8

Vahid Roomi, Hojjat Afshari, Sabileh Kalantari

引用次数: 0

Abstract

The existence of solutions for a class of μ-Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated. We use F-contraction, convex F-contraction, and some consequences to achieve the desired goals. Finally, some examples are provided to illustrate the results.

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微分方程的若干存在性结果以及通过（凸）F-收缩映射的分数阶包容

我们研究了一类 μ-Caputo 分数微分方程的解的存在性，以及配备非局部 μ-integral 边界条件的包含问题。我们使用 F-收缩、凸 F-收缩和一些后果来实现预期目标。最后，我们提供了一些示例来说明结果。

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 Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.