Semilinear functional differential equations of fractional order with state-dependent delay

• Autorzy: Benchohra M. , Bennihi O. , Ezzinbi K.
• Języki publikacji: EN

Abstrakty

EN

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 Fr´echet spaces combined with -resolvent family is the main tool in our analysis.

Słowa kluczowe

EN

semilinear functional differential equation; mild solution; resolvent family; fixed point; state-dependent delay; contractive map; Frechet space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol 53, No. 1
• Strony: 47--59
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Benchohra M.

• Laboratory of mathematics, University of Sidi Bel Abbes PO Box 89, 22000 Sidi Bel Abbes, Algeria

autor

Bennihi O.

• Département de mathématiques et informatique, Universit de Saida 20000, Saida, Algérie

autor

Ezzinbi K.

• Département de Mathématiques, Faculté des Sciences, Semlalia B.P.2390, Marrakech, Morocco

Bibliografia

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