Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay

• Autorzy: Mouffak Benchohra , Omar Bennihi , Khalil Ezzinbi
• 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 Frechet spaces combined with \(\alpha\)-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: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 1

Daty

wydano

2013

online

2013-06-15

Twórcy

autor

Mouffak Benchohra

autor

Omar Bennihi

autor

Khalil Ezzinbi

Identyfikatory

DOI

10.14708/cm.v53i1.772