Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 80, pp. 1-18.

Title: Existence of solutions to differential inclusions with fractional
       order and impulses
	
Authors: Mouffak Benchohra (Univ. de Sidi Bel-Abbes, Algerie)
         Samira Hamani   (Univ. de Sidi Bel-Abbes, Algerie)
	 Juan Jose Nieto (Univ.de Santiago de Compostela, Spain)
	 Boualem Attou Slimani (Univ. de Tlemcen, Algerie)

Abstract:
 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.

Submitted March 11, 2010. Published June 15, 2010.
Math Subject Classifications: 26A33, 34A37.
Key Words: Initial value problem; impulses; differential inclusion;
           Caputo fractional derivative; fractional integral; existence;
           uniqueness; fixed point.