- Tytuł:
- Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
- Autorzy:
-
Benchohra, Mouffak
Bennihi, Omar
Ezzinbi, Khalil - Powiązania:
- https://bibliotekanauki.pl/articles/746657.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
- Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2013, 53, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł