SOLVABILITY FOR A COUPLED SYSTEM OF 4-SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS

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dc.contributor.authorBensassa, Kamel
dc.contributor.authorDahmani, Zoubir
dc.contributor.authorSarikaya, Mehmet zeki
dc.date.accessioned2025-10-11T20:47:36Z
dc.date.available2025-10-11T20:47:36Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe present work deals with a coupled system of fractional differential equations involving four sequential Caputo derivatives in each of its components. The fractional differential system gives rise to a standard coupled system of two ordinary differential equations of order four, which has practical applications in some real-world phenomena such as robotics, aerospace, and electrical engineering. The existence of a unique vector solution for our sequential system is studied. The existence of at least one vector solution for the considered system is also investigated. Some illustrative examples are discussed in detail to show the main results' applicability. The stabilities in the sense of Ulam Hyers for the system is discussed. A conclusion follows at the end.en_US
dc.identifier.doi10.7153/dea-2024-16-09
dc.identifier.endpage169en_US
dc.identifier.issn1847-120X
dc.identifier.issn1848-9605
dc.identifier.issue2en_US
dc.identifier.startpage151en_US
dc.identifier.urihttps://doi.org/10.7153/dea-2024-16-09
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21452
dc.identifier.volume16en_US
dc.identifier.wosWOS:001362365400004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherElementen_US
dc.relation.ispartofDifferential Equations & Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectExistenceen_US
dc.subjectuniquenessen_US
dc.subjectBanach contraction principleen_US
dc.subjectCaputo derivativeen_US
dc.titleSOLVABILITY FOR A COUPLED SYSTEM OF 4-SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONSen_US
dc.typeArticleen_US

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