Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 103, pp. 1-9.

Title: Existence and uniqueness of solutions to  functional 
       integro-differential fractional equations

Authors: Moulay Rchid Sidi Ammi (Moulay Ismail Univ., Errachidia, Morocco)
         El Hassan El Kinani (Moulay Ismail Univ., Errachidia, Morocco)
	 Delfim F. M. Torres (Univ. of Aveiro, Portugal)

Abstract:
 Using a fixed point theorem in a Banach algebra,  we prove
 an existence result for a fractional functional differential
 equation in the Riemann-Liouville sense. Dependence of
 solutions with respect to initial data and an uniqueness result
 are also obtained.

Submitted January 27, 2012. Published June 20, 2012.
Math Subject Classifications: 26A33, 47H10. 
Key Words: Riemann-Liouville operator; fractional calculus;
           fixed point theorem;  Lipschitz condition.