Geodesic
Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 33 (2013) no. 2, pp. 149-170.

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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.
Keywords: fractional calculus, caputo fractional derivative, multivalued map, differential inclusions, mild solution, fixed point 
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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) no. 2, pp. 149-170. http://geodesic.mathdoc.fr/item/DMDICO_2013_33_2_a2/

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