Impulsive Conformable Evolution Equations in Banach Spaces with Fractional Semigroup

Mazin Aljazzazi, Seddiki Fakhreddine, Iqbal Batiha, Iqbal Jebril, Ahmed Bouchenak, Rasha Hajaj

Abstract


This paper investigates the the existence, uniqueness, and stability of mild solutions for impulsive conformable differential equations. Our primary findings rely on utilizing the fractional semigroup alongside Mönch's and Banach fixed-point theorems. In addition, we provide an illustrative example to demonstrate the applicability of our results.


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