This paper deals with the existence and uniqueness of solutions for a new class of coupled systems of Hilfer fractional pantograph differential equations with nonlocal integral boundary conditions. First of all, we are going to give some definitions that are necessary for the understanding of the manuscript; second of all, we are going to prove our main results using the fixed point theorems, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem; in the end, we are giving two examples to illustrate our results.

中文翻译：

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具有非局部积分边值条件的一类耦合Hilfer分式受电弓微分方程的存在性结果

本文讨论了具有非局部积分边界条件的一类新型Hilfer分数弓缩放微分方程耦合系统解的存在性和唯一性。首先，我们将给出一些理解手稿所必需的定义。第二，我们将使用不动点定理证明主要结果，即Banach的收缩原理和Krasnoselskii的不动点定理。最后，我们给出两个例子来说明我们的结果。