Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
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Mouffak Benchohra
benchohra@yahoo.com
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Omar Bennihi
obennihidz@yahoo.fr
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Khalil Ezzinbi
ezzinbi@ucam.ac.ma
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DOI:
https://doi.org/10.4067/S0719-06462014000300004Abstract
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 Fréchet spaces combined with α-resolvent family is the main tool in our analysis.
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Published
2014-10-01
How to Cite
[1]
M. Benchohra, O. Bennihi, and K. Ezzinbi, “Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay”, CUBO, vol. 16, no. 3, pp. 37–53, Oct. 2014.
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