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.
@article{1180,
title = {Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1180}
}
Benchohra, Mouffak; Bennihi, Omar; Ezzinbi, Khalil. Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay. CUBO, A Mathematical Journal, Tome 16 (2014) 17 p. http://gdmltest.u-ga.fr/item/1180/