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/118010.4067/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.