摘要:In this paper, by using the fractional power of an operator and some fixed point theorems, we study the existence of mild solutions for the nonlocal problem of Caputo fractional impulsive neutral evolution equations in Banach spaces. In the end, an example is given to illustrate the applications of the abstract results. MSC:34K45, 35F25.
关键词:fractional impulsive neutral evolution equation ; compact and analytic semigroup ; mild solutions ; fixed point theorem