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w słowach kluczowych: semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space

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

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Benchohra M., Bennihi O., Ezzinbi K.

Commentationes Mathematicae

2013

tom 53

nr 1

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.

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1 Commentationes Mathematicae

1 Benchohra M.

1 Bennihi O.

1 Ezzinbi K.

1 2013

Wyniki wyszukiwania

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