一类0＜α＜1带有无限时滞的中立型脉冲微分方程mild解的存在性

摘要

In this paper,we investigate the existence of mild solution for impulsive fractional neutral function integro-differential evolution equations with infinite delay of order 0 ＜ α ＜ 1in a Banach space.The main mathematical techniques used here include the fractional calculus,properties of solution operators,and M(o)nch's fixed point theorem via measures of noncompactness.Without assuming that the solution operators are compact,we prove the existence of mild solution to such equations.%本文研究了一类0＜α＜1带有无限时滞的中立型脉冲微分方程mild解的存在性的问题.利用解算子的相关性质及M(o)nch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的结果.