Geodesic
Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
Commentationes Mathematicae, Tome 53 (2013) no. 1, pp. 47-59.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with \(\alpha\)-resolvent family is the main tool in our analysis.
DOI : 10.14708/cm.v53i1.772
Mots-clés : semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space 
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Mouffak Benchohra; Omar Bennihi; Khalil Ezzinbi. Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay. Commentationes Mathematicae, Tome 53 (2013) no. 1, pp.  47-59. doi : 10.14708/cm.v53i1.772. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i1.772/

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