Geodesic
Semilinear functional differential equations of fractional order with state-dependent delay
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
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     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a110/}
}
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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__a110/