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__a91,
     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__a91/}
}
TY  - JOUR
AU  - Ibrahim, Rabha W.
TI  - Existence of convex and non convex local solutions for fractional differential inclusions
JO  - Electronic Journal of Differential Equations
PY  - 2009
VL  - 2009
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a91/
LA  - en
ID  - EJDE_2009__2009__a91
ER  - 
%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
%D 2009
%V 2009
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a91/
%G en
%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/