Impulsive fractional differential inclusions with state-dependent delay
Mathematica Moravica, Tome 23 (2019) no. 2.

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In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli. An example is provided to illustrate the main result.
Mots-clés : Impulsive fractional differential inclusions, $\alpha$-resolvent family, solution operator, Caputo fractional derivative, mild solution, multivalued map, fixed point, Banach spaces 
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     title = {Impulsive fractional differential inclusions with state-dependent delay},
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Khalida Aissani; Mouffak Benchohra. Impulsive fractional differential inclusions with state-dependent delay. Mathematica Moravica, Tome 23 (2019) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2019_23_2_a8/