Two fractional order Langevin equation with new chaotic dynamics

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242en_US
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020en_US
dc.contributor.authorBelhamiti, Meriem Mansouria
dc.contributor.authorDahmani, Zoubir
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2024-08-23T16:03:39Z
dc.date.available2024-08-23T16:03:39Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theo-rem under a weak topology, and an illustrative example is then given. Further-more, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations.en_US
dc.identifier.doi10.31801/cfsuasmas.1126025
dc.identifier.endpage685en_US
dc.identifier.issn1303-5991
dc.identifier.issue3en_US
dc.identifier.startpage663en_US
dc.identifier.trdizinid1199612en_US
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1126025
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1199612
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13849
dc.identifier.volume72en_US
dc.identifier.wosWOS:001108742100019en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherAnkara Univ, Fac Scien_US
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics And Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputoen_US
dc.subjectCaputo-Fabrizio derivativeen_US
dc.subjectAtangana-Baleanu derivativeen_US
dc.subjectfixed-point theoryen_US
dc.subjectthree-step Adams-Bashforth schemeen_US
dc.titleTwo fractional order Langevin equation with new chaotic dynamicsen_US
dc.typeArticleen_US

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