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

dc.creatorBenchohra, Mouffak
dc.creatorBennihi, Omar
dc.creatorEzzinbi, Khalil
dc.date2014-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1180
dc.identifier10.4067/S0719-06462014000300004
dc.descriptionIn 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1180/1038
dc.sourceCUBO, A Mathematical Journal; Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal; 37-53en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 16 Núm. 3 (2014): CUBO, A Mathematical Journal; 37-53es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectNeutral functional differential equationsen-US
dc.subjectRiemman-Liouville fractional derivativeen-US
dc.subjectmild solutionen-US
dc.subjectdelayen-US
dc.subjectfixed pointen-US
dc.subjectα-resolventen-US
dc.subjectFréchet spaceen-US
dc.titleExistence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delayen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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