The New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation

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dc.contributor.authorAlkan, Aslı
dc.contributor.authorAnaç, Halil
dc.date.accessioned2026-08-12T16:09:10Z
dc.date.issued2026
dc.departmentFırat Üniversitesi
dc.description8th International conference Approximation Theory and Special Functions, ATSF 2024 -- 4 September 2024 through 7 September 2024 -- Ankara -- 347299
dc.description.abstractThis study focuses on the novel Atangana-Baleanu method employed to obtain new numerical solutions for the Benney equation with Atangana-Baleanu fractional derivatives. The Atangana-Baleanu q-Elzaki homotopy analysis transform method is used to numerically solve this equation. This paper presents an investigation of the numerical solutions obtained using this technique. Furthermore, the proposed method has been subjected to numerical simulation using Maple software, considering different fractional orders. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.
dc.identifier.doi10.1007/978-3-031-93279-3_15
dc.identifier.endpage299
dc.identifier.isbn978-303193278-6
dc.identifier.issn2194-1009
dc.identifier.scopus2-s2.0-105029617317
dc.identifier.scopusqualityQ4
dc.identifier.startpage285
dc.identifier.urihttps://doi.org/10.1007/978-3-031-93279-3_15
dc.identifier.urihttps://hdl.handle.net/11508/41627
dc.identifier.volume503 PROMS
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofSpringer Proceedings in Mathematics and Statistics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260511
dc.subjectAtangana-Baleanu fractional operator; Benney equation; Elzaki transform
dc.titleThe New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation
dc.typeConference Object

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