Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 07, pp. 1-7.

Title: Nonlocal fractional semilinear differential equations
       in separable Banach spaces
        
Authors: Kexue Li     (Xi'an Jiaotong Univ., China)
         Jigen Peng   (Xi'an Jiaotong Univ., China)
         Jinghuai Gao (Xi'an Jiaotong Univ., China)

Abstract:
 In this article, we study the existence of mild solutions for
 fractional semilinear differential equations with nonlocal conditions
 in separable Banach spaces. The result is obtained by using  the Hausdorff
 measure of noncompactness and the Schauder fixed point theorem.

Submitted June 26, 2012. Published January 08, 2013.
Math Subject Classifications: 26A33.
Key Words: Fractional differential equation; nonlocal conditions;
           Hausdorff measure of noncompactness; mild solution.