Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 38, pp. 1-10.

Title: Semilinear functional differential equations of
       fractional order with state-dependent delay
   
Authors: Mohamed Abdalla Darwish (Alexandria Univ., Damanhour, Egypt)
         Sotiris K. Ntouyas (Univ. of Ioannina, Greece)

Abstract:
 In this paper we study the existence of solutions for the initial
 value problem  for semilinear functional differential equations
 of fractional order with state-dependent delay.
 The nonlinear alternative of Leray-Schauder type is the main tool
 in our analysis.
 
Submitted January 8, 2009. Published March 10, 2009.
Math Subject Classifications: 26A33, 26A42, 34K30.
Key Words: Functional differential equations; fractional derivative; 
           fractional integral; existence; state-dependent delay;
           infinite delay; fixed point.