In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1149,
author = {Hammouche Hadda and Guerbati Kaddour and Benchohra Mouffak and Abada Nadjat},
title = {Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {33},
year = {2013},
pages = {149-170},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1149}
}
Hammouche Hadda; Guerbati Kaddour; Benchohra Mouffak; Abada Nadjat. Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 33 (2013) pp. 149-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1149/
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