This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo–Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented.

中文翻译：

---

带有 CAPUTO-HADAMARD 衍生物的耦合混合分数阶系统的温和解

本文致力于在 Banach 代数中使用 Dhage 不动点定理证明具有 Caputo-Hadamard 导数的耦合混合分数阶系统的温和解的存在性。为了确认所得结果的适用性，还给出了一个例子。