A three fractional order jerk equation with anti periodic conditions

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dc.contributor.authorDahmani, Zoubir
dc.contributor.authorBelhamiti, Meriem Mansouria
dc.contributor.authorSarikaya, Mehmed Zeki
dc.date.accessioned2024-08-23T16:03:48Z
dc.date.available2024-08-23T16:03:48Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Utilizing Krasnoselskii fixed point theorem we prove another existence result governing at least one solution. We provide an illustrative example to claim our established results. At the end, an approximation for Caputo derivative is proposed and some chaotic behaviours are discussed by means of the Runge Kutta 4th order method.en_US
dc.identifier.doi10.22190/FUMI210327018D
dc.identifier.endpage271en_US
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue2en_US
dc.identifier.startpage253en_US
dc.identifier.urihttps://doi.org/10.22190/FUMI210327018D
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13908
dc.identifier.volume38en_US
dc.identifier.wosWOS:001139598700004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartofFacta Universitatis-Series Mathematics And Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectJerk equationen_US
dc.subjectfractional derivativesen_US
dc.subjectanti periodic conditionsen_US
dc.subjectfixed point theoremen_US
dc.titleA three fractional order jerk equation with anti periodic conditionsen_US
dc.typeArticleen_US

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