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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Auteurs principaux:	Benchohra,Mouffak, Bennihi,Omar, Ezzinbi,Khalil
Langue:	English
Publié:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Sujets:	Neutral functional differential equations Riemman-Liouville fractional derivative mild solution delay fixed point α-resolvent Fréchet space
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300004
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spelling	oai:scielo:S0719-064620140003000042018-10-08Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent DelayBenchohra,MouffakBennihi,OmarEzzinbi,Khalil Neutral functional differential equations Riemman-Liouville fractional derivative mild solution delay fixed point α-resolvent Fréchet space 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.3 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300004en10.4067/S0719-06462014000300004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Neutral functional differential equations Riemman-Liouville fractional derivative mild solution delay fixed point α-resolvent Fréchet space
spellingShingle	Neutral functional differential equations Riemman-Liouville fractional derivative mild solution delay fixed point α-resolvent Fréchet space Benchohra,Mouffak Bennihi,Omar Ezzinbi,Khalil Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
description	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.
author	Benchohra,Mouffak Bennihi,Omar Ezzinbi,Khalil
author_facet	Benchohra,Mouffak Bennihi,Omar Ezzinbi,Khalil
author_sort	Benchohra,Mouffak
title	Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
title_short	Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
title_full	Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
title_fullStr	Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
title_full_unstemmed	Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
title_sort	existence results for some neutral partial functional differential equations of fractional order with state-dependent delay
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300004
work_keys_str_mv	AT benchohramouffak existenceresultsforsomeneutralpartialfunctionaldifferentialequationsoffractionalorderwithstatedependentdelay AT bennihiomar existenceresultsforsomeneutralpartialfunctionaldifferentialequationsoffractionalorderwithstatedependentdelay AT ezzinbikhalil existenceresultsforsomeneutralpartialfunctionaldifferentialequationsoffractionalorderwithstatedependentdelay
_version_	1714206790282903552

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

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