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Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Journal article   Open access  Peer reviewed

Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan
Advances in difference equations, Vol.2020(1), pp.1-16
10/04/2020
DOI: https://doi.org/10.1186/s13662-020-02615-y

Abstract

Analysis Applications Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Methods Ordinary Differential Equations Partial Differential Equations Topics in Special Functions and q-Special Functions: Theory
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.
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https://doi.org/10.1186/s13662-020-02615-yView
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