Geodesic
Existence of solutions to differential inclusions with fractional order and impulses
Electronic journal of differential equations, Tome 2010 (2010)
We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered.
Classification : 26A33, 34A37
Keywords: initial value problem, impulses, differential inclusion, Caputo fractional derivative, fractional integral, existence, uniqueness, fixed point 
@article{EJDE_2010__2010__a128,
     author = {Benchohra,  Mouffak and Hamani,  Samira and Nieto,  Juan Jose and Slimani,  Boualem Attou},
     title = {Existence of solutions to differential inclusions with fractional order and impulses},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1194.26008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a128/}
}
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AU  - Hamani,  Samira
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TI  - Existence of solutions to differential inclusions with fractional order and impulses
JO  - Electronic journal of differential equations
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VL  - 2010
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%A Nieto,  Juan Jose
%A Slimani,  Boualem Attou
%T Existence of solutions to differential inclusions with fractional order and impulses
%J Electronic journal of differential equations
%D 2010
%V 2010
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%G en
%F EJDE_2010__2010__a128
Benchohra,  Mouffak; Hamani,  Samira; Nieto,  Juan Jose; Slimani,  Boualem Attou. Existence of solutions to differential inclusions with fractional order and impulses. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a128/