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 combined with α-resolvent family is the main tool in our analysis.
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| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300004 |
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| Summary: | 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 combined with α-resolvent family is the main tool in our analysis. |
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