This paper is mainly concerned with the exact controllability for a class of impulsive $\psi$-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next, by the Mönch fixed point theorem, the exact controllability result for the considered systems is obtained under some suitable assumptions. Finally, an example is given to support the validity of the main results.

中文翻译：

---

具有非局部条件的脉冲ψ-Caputo分数演化方程的可控性

本文主要研究一类脉冲的精确可控性。 $\psi$-具有非局部条件的 Caputo 分数演化方程。首先，通过广义拉普拉斯变换，引入了对所考虑问题的温和解决方案。接下来，通过 Mönch 不动点定理，在一些合适的假设下获得所考虑系统的精确可控性结果。最后给出一个例子来支持主要结果的有效性。