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Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces

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Yan Z., Zhang H.

Annales Polonici Mathematici

2014

tom 110

nr 2

143-169

We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the theory.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Yan Z.

1 Zhang H.

1 2014

Wyniki wyszukiwania

Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces