Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 107, pp. 1-10.

Title: Existence of mild solutions for impulsive fractional-order 
       semilinear evolution equations with nonlocal conditions
       
Authors: Archana Chauhan (Motilal Nehru National Inst. of Tech., India)
         Jaydev Dabas (IIT Roorkee, Saharanpur, India)
      
Abstract:
 In this work we consider a class of impulsive  fractional-order
 semilinear evolution equations with a nonlocal initial condition.
 By means of solution operator and application of fixed point
 theorems we established the existence and uniqueness of a mild
 solution.
 
Submitted April 29, 2011. Published August 24, 2011.
Math Subject Classifications: 34K05, 34A12, 34A37, 26A33.
Key Words: Fractional order differential equation; nonlocal conditions; 
           contraction mapping; mild solution; impulsive conditions.