Mohamed Abdalla Darwish, Sotiris K. Ntouyas
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.
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Mohamed Abdalla Darwish Department of Mathematics, Faculty of Science Alexandria University at Damanhour, 22511 Damanhour, Egypt email: mdarwish@ictp.it, darwishma@yahoo.com |
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Sotiris K. Ntouyas Department of Mathematics, University of Ioannina 451 10 Ioannina, Greece e-mail: sntouyas@cc.uoi.gr http://www.math.uoi.gr/~sntouyas |
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