A class of nonlocal impulsive differential equations with conformable fractional derivative
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Published:2022-12-21
Issue:3
Volume:24
Page:439-455
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ISSN:0719-0646
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Container-title:Cubo (Temuco)
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language:
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Short-container-title:Cubo (Temuco, Online)
Author:
Bouaouid MohamedORCID,
Kajouni AhmedORCID,
Hilal KhalidORCID,
Melliani SaidORCID
Abstract
In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results.
Publisher
Universidad de La Frontera
Subject
Geometry and Topology,Logic,Algebra and Number Theory,Analysis