In this paper, we study the existence of solutions for coupled systems of \(\psi \)-Caputo fractional differential equations with initial conditions in Banach Spaces. The method used in this study is based on the well-known Mönch’s fixed point theorem combined with the technique of measures of noncompactness. As an application, an example is given to illustrate the theoretical results.

中文翻译：

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Banach空间中具有初始条件的$$ \ psi $$ψ-Caputo微分方程的耦合系统

在本文中，我们研究了具有初始条件的Banach空间中\（\ psi \）- Caputo分数阶微分方程的耦合系统解的存在性。本研究中使用的方法基于著名的Mönch定点定理和非紧致性度量技术。作为一个应用，给出了一个例子来说明理论结果。