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Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay

Author
Benchohra, Mouffak

Bennihi, Omar

Ezzinbi, Khalil

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1180
10.4067/S0719-06462014000300004
Abstract
In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of neutral partial functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Fréchet spaces combined with α-resolvent family is the main tool in our analysis.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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