- Tytuł:
- Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
- Autorzy:
-
Benchohra, Mouffak
Bennihi, Omar
Ezzinbi, Khalil - Tematy:
- semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
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- Wydawca:
- Polskie Towarzystwo Matematyczne
- Powiązania:
- https://bibliotekanauki.pl/articles/746657.pdf  Link otwiera się w nowym oknie
- 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.
- Dostawca treści:
- Biblioteka Nauki
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