Geodesic
Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay
Mouffak Benchohra1 ; Mohamed Hellal2
1 Laboratory of Mathematics University of Sidi Bel-Abbès P.O. Box 89 22000, Sidi Bel-Abbès, Algeria and Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah 21589, Saudi Arabia
2 Laboratory of Mathematics University of Sidi Bel-Abbès P.O. Box 89 22000, Sidi Bel-Abbès, Algeria
Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 259-281.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate the existence and uniqueness of solutions of hyperbolic fractional order differential equations with state-dependent delay by using a nonlinear alternative of Leray–Schauder type due to Frigon and Granas for contraction maps on Fréchet spaces.
DOI : 10.4064/ap110-3-4
Keywords: investigate existence uniqueness solutions hyperbolic fractional order differential equations state dependent delay using nonlinear alternative leray schauder type due frigon granas contraction maps chet spaces

Mouffak Benchohra 1 ; Mohamed Hellal 2

1 Laboratory of Mathematics University of Sidi Bel-Abbès P.O. Box 89 22000, Sidi Bel-Abbès, Algeria and Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah 21589, Saudi Arabia
2 Laboratory of Mathematics University of Sidi Bel-Abbès P.O. Box 89 22000, Sidi Bel-Abbès, Algeria 
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Mouffak Benchohra; Mohamed Hellal. Global uniqueness results for
 fractional partial hyperbolic differential equations
 with state-dependent delay. Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 259-281. doi : 10.4064/ap110-3-4. http://geodesic.mathdoc.fr/articles/10.4064/ap110-3-4/

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