带有边界值问题的脉冲分数阶微分方程正解的存在性

摘要

In this paper, we investigate the impulsive fractional differential equation with boundary value conditions. By using the theory of Kuratowski measure of noncompactness and Sadovskii' fixed point theorem, we obtain the existence of positive solution for the impulsive frac-tional differential equations, which generalize the results of previous literatures.%本文研究了具有边界值条件的脉冲分数阶微分方程.利用Kuratowski非紧性测度理论和Sadovskii不动点定理,得到了脉冲分数阶微分方程正解的存在性的结果,推广了已有文献的结论.