The aim of this paper is to give existence results for a class of coupled systems of fractional integrodifferential equations with Hilfer fractional derivative in Banach spaces. We first give some definitions, namely the Hilfer fractional derivative and the Hausdorff’s measure of noncompactness and the Sadovskii’s fixed point theorem.

中文翻译：

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一类脉冲希尔弗分数阶耦合系统的温和解的存在性

本文的目的是给出一类在Banach空间中具有Hilfer分数导数的分数阶积分微分方程耦合系统的存在性结果。我们首先给出一些定义，即Hilfer分数导数和Hausdorff的非紧致性度量以及Sadovskii的不动点定理。