Abstract In this paper, by using the Caputo-Katugampola fractional derivative concept for the interval functions, a non-instantaneous impulsive value problem of interval differential equations is investigated. The first purpose is to study the existence and uniqueness results of the solution of the given problem, and the second purpose is to present the Ulam-Hyers-Mittag-Leffler's stability results of the above problem. Finally, some examples are given to illustrate our main results.

中文翻译：

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具有 Caputo-Katugampola 分数阶导数概念的非瞬时脉冲区间值分数阶微分方程

摘要 本文利用区间函数的Caputo-Katugampola分数阶导数概念，研究了区间微分方程的非瞬时冲值问题。第一个目的是研究给定问题解的存在唯一性结果，第二个目的是展示上述问题的 Ulam-Hyers-Mittag-Leffler 稳定性结果。最后，给出了一些例子来说明我们的主要结果。