Geodesic
Semilinear functional differential equations of fractional order with state-dependent delay
Electronic journal of differential equations, Tome 2009 (2009)
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.
Classification : 26A33, 26A42, 34K30
Keywords: functional differential equations, fractional derivative, fractional integral, existence, state-dependent delay, infinite delay, fixed point 
@article{EJDE_2009__2009__a10,
     author = {Darwish,  Mohamed Abdalla and Ntouyas,  Sotiris K.},
     title = {Semilinear functional differential equations of fractional order with state-dependent delay},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1167.26302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a10/}
}
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Darwish,  Mohamed Abdalla; Ntouyas,  Sotiris K. Semilinear functional differential equations of fractional order with state-dependent delay. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a10/