Geodesic
Existence of convex and non convex local solutions for fractional differential inclusions
Electronic journal of differential equations, Tome 2009 (2009)
In this paper, we establish the existence theorems for a class of fractional differential inclusion of order $n-1 \alpha \leq n $. The study holds in two cases, when the set-valued function has convex and non-convex values.
Classification : 34G10, 26A33, 34A12, 42B05
Keywords: fractional calculus, set-valued function, extremal solution, maximal solution, minimal solution, differential inclusions 
@article{EJDE_2009__2009__a91,
     author = {Ibrahim,  Rabha W.},
     title = {Existence of convex and non convex local solutions for fractional differential inclusions},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1171.26304},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a91/}
}
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JO  - Electronic journal of differential equations
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%0 Journal Article
%A Ibrahim,  Rabha W.
%T Existence of convex and non convex local solutions for fractional differential inclusions
%J Electronic journal of differential equations
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%V 2009
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%F EJDE_2009__2009__a91
Ibrahim,  Rabha W. Existence of convex and non convex local solutions for fractional differential inclusions. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a91/