Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Files
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space. We obtain the existence results by applying the theory of resolvent operator functions, Hausdorff measure of noncompactness, and Sadovskii's fixed point theorem. We also present an example to show the validity of obtained results. 2020, The Author(s).
Description
Keywords
Hausdorff measure of noncompactness, Hilfer fractional derivative, Noninstantaneous impulsive conditions, Resolvent operator functions