Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

Abstract

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.

Keywords

• Hilfer fractional derivative
• Noninstantaneous impulsive conditions
• Hausdorff measure of noncompactness
• Resolvent operator functions