Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay

Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay

In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of neutral partial functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces c...

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Bibliographic Details
Main Authors: Benchohra,Mouffak, Bennihi,Omar, Ezzinbi,Khalil
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Subjects:
Neutral functional differential equations
Riemman-Liouville fractional derivative
mild solution
delay
fixed point
α-resolvent
Fréchet space
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300004
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