In this article, we establish sufficient conditions for existence and uniqueness of integral solution for some non-densely defined non-instantaneous impulsive evolution equations on a Banach space involving Caputo fractional derivative. The results are obtained by means of characteristic functions based on probability density. Finally, the main results are illustrated through examples.

中文翻译：

---

非瞬时脉冲分数阶演化方程积分解存在的充分条件

在本文中，我们为涉及Caputo分数阶导数的Banach空间上一些非密集定义的非瞬时脉冲发展方程建立了整体解的存在性和唯一性的充分条件。通过基于概率密度的特征函数获得结果。最后，通过实例说明了主要结果。