In this paper, we study an initial value problem for a class of impulsive implicit-type fractional differential equations (FDEs) with proportional delay terms. Schaefer’s fixed point theorem and Banach’s contraction principle are the key tools in obtaining the required results. We apply our results to a numerical problem for demonstration purpose.

中文翻译：

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受电弓式隐式分数阶微分方程初值问题的稳定性分析

在本文中，我们研究了一类具有比例延迟项的脉冲隐式分数阶微分方程（FDE）的初值问题。Schaefer的不动点定理和Banach的收缩原理是获得所需结果的关键工具。我们将我们的结果应用于一个数值问题以进行演示。