Geodesic
Existence of convex and non convex local solutions for fractional differential inclusions
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a191,
     author = {Ibrahim, Rabha W.},
     title = {Existence of convex and non convex local solutions for fractional differential inclusions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a191/}
}
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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__a191/