In this paper, we study a coupled system involving Hilfer fractional derivatives with nonlocal integral boundary conditions. Existence and uniqueness results are obtained by applying Leray-Schauder alternative, Krasnoselskii’s fixed point theorem, and Banach’s contraction mapping principle. Examples illustrating our results are also presented.

中文翻译：

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具有非局部积分边界条件的希尔弗勒分数阶微分方程的耦合系统

在本文中，我们研究了包含非局部积分边界条件的Hilfer分数阶导数的耦合系统。通过应用Leray-Schauder替代方案，Krasnoselskii不动点定理和Banach压缩映射原理获得存在性和唯一性结果。还提供了说明我们的结果的示例。