关键词: Caputo分数阶积-微分方程, Cauchy问题, 存在性, 唯一性, e指数型Ulam-Hyers稳定性

Abstract: By using Krasnoselskii’s fixed point theorem and Gronwall inequality, we discussed the existence and uniqueness of solutions for fractional impulsive integro-differential equations, and obtained the exp-type Ulam-Hyers stability of these solutions. The applicability of the obtained conclusions was illustrated by an example.

Key words: Caputo fractional integro-differential equation, Cauchy problem, existence, uniqueness, exp-type Ulam-Hyers stability