On the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation

Abstract

In this paper, by means of Banach fixed point theorem, we investigate the existence and Ulam--Hyers--Rassias stability of the non-instantaneous impulsive integrodifferential equation by means of -Hilfer fractional derivative. In this sense, some examples are presented, in order to consolidate the results obtained.

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