一类1<α<2非局部条件下的脉冲分数阶微分方程mild解的存在性

摘要

本文研究了一类1<α<2非局部条件下的脉冲分数阶偏微分方程mild解的存在性问题.利用解算子的相关性质及Krasnoselskii不动点理论的方法,获得了这类方程的mild解并予以证明,且得到了解的存在性结果.%This paper is concerned with the existence of mild solutions for impulsive fractional differential equations with nonlocal conditions of order 1<α<2. Using the properties of solution operators and Krasnoselskii's fixed point theorem, we obtain the mild solution of the equations which is proved and its existence results.