%0 Journal Article %T 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<br>THE EXISTENCE OF MILD SOLUTIONS FOR IMPULSIVE FRACTIONAL DIFIERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS OF ORDER 1 < α < 2 %A 作者 %A 石亚晶 %A 舒小保 %J 数学杂志 %D 2017 %X 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.<br>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 %K mild解 分数阶微分方程 非局部条件 不动点理论< %K br> %K mild solutions fractional differential equations nonlocal conditions fixed point theorem %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170323&flag=1