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Langevin differential equation of fractional order in non compactness Banach space

In this paper, we consider the fractional Langevin equation with finite delay. Our aim is to establish new conditions ensuring the existence, uniqueness and stability of solutions. This is realized by means of the measure of non compactness and the Darbo fixed point theorem. Some illustrative examples are also discussed.

Auteur(s) : Ameth Ndiaye
Pages : 21
Année de publication : 2020
Revue : Journal of Interdisciplinary Mathematics
N° de volume : 20
Type : Article
Mise en ligne par : NDIAYE Ameth