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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1160,
author = {Khalida Aissani and Mouffak Benchohra and Khalil Ezzinbi},
title = {Fractional integro-differential inclusions with state-dependent delay},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {34},
year = {2014},
pages = {153-167},
zbl = {1315.34081},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1160}
}
Khalida Aissani; Mouffak Benchohra; Khalil Ezzinbi. Fractional integro-differential inclusions with state-dependent delay. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014) pp. 153-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1160/
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