Mohamed Abdalla Darwish, Sotiris K. Ntouyas
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: firstname.lastname@example.org, email@example.com
| Sotiris K. Ntouyas |
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
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