Abstract

The main object of this paper is to establish some fixed point results for \(F(\psi,\varphi)\)-contractions in partially-ordered metric spaces. As an application of one of these fixed point theorems, we discuss the existence of a unique solution for a coupled system of higher-order fractional differential equations with multi-point boundary conditions. The results presented in this paper are shown to extend many recent results appearing in the literature.

中文翻译：

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$$ F（\ psi，\ varphi）$$-压缩的一些不动点定理及其在分数阶微分方程中的应用

摘要

本文的主要目的是为部分有序度量空间中的\（F（\ psi，\ varphi）\）压缩建立一些不动点结果。作为这些不动点定理之一的应用，我们讨论了具有多点边界条件的高阶分数阶微分方程耦合系统的唯一解的存在。本文中提出的结果表明可以扩展文献中出现的许多最新结果。