This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general than some well-known results. Furthermore, as applications that illustrate the abstract results, two examples are given.
The aim of this paper is to discuss the existence of weak solutions for a nonlinear two-point boundary value problem of integrodifferential equations of fractional order α ∈ (1, 2]. Our analysis relies on the Krasnoselskii fixed point theorem combined with the technique of measure of weak noncompactness.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.