Fractional integro-differential inclusions with state-dependent delay

Aissani, Khalida ; Benchohra, Mouffak ; Ezzinbi, Khalil

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 34 (2014) no. 2, pp. 153-167.

Résumé

In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.

Détail

Keywords: fractional integro-differential inclusions, Caputo fractional derivative, mild solution, multivalued map, Bohnenblust-Karlin's fixed point, state-dependent delay

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