Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 136, pp. 1-9.

Title: Existence of local and global solutions to some impulsive
       fractional differential equations

Authors: Rahima Atmania (Univ. of Badji Mokhtar Annaba, Algeria)
         Said Mazouzi   (Univ. of Badji Mokhtar Annaba, Algeria)

Abstract:
 First, by using Schauder's fixed-point theorem we establish the
 existence uniqueness of locals for some fractional differential
 equation with a finite number of impulses. On the other hand,
 by using Brouwer's fixed-point theorem, we establish existence of
 the global solutions under suitable assumptions.
 
An addendum was attached on August 31, 2010. It corrects some misprints
and presents a new proof of Theorem 4.2. See the last page of this article. 
 
Submitted July 3, 2009. Published October 21, 2009.
Math Subject Classifications: 26A33, 34A12, 34A37.
Key Words: Fractional derivative; impulsive conditions; fixed point;
           local solution; global solution.