Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

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

BildiriAçık ErişimScopus SJRQ4

Özet

This 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.

Anahtar Kelimeler

Atangana-Baleanu fractional operatorBenney equationElzaki transform
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/13805Resmi atıflarda kullanılan kalıcı adres
İndeks kayıtları
ScopusScopus
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
0
OpenAlex
0
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAlkan, Aslı
dc.contributor.authorAnaç, Halil
dc.contributor.editorDuman, O.
dc.contributor.editorErkus-Duman, E.
dc.date.accessioned2026-10-22T10:21:48.441797648Z
dc.date.available2026-10-22T10:21:48.441797648Z
dc.date.issued2026
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.
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.startpage285
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/13805
dc.identifier.volume503 PROMS
dc.language.isoen
dc.publisherSpringer
dc.relation.conference8th International conference Approximation Theory and Special Functions, ATSF 2024
dc.relation.ispartofSpringer Proceedings in Mathematics and Statistics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAtangana-Baleanu fractional operator
dc.subjectBenney equation
dc.subjectElzaki transform
dc.subject.otherComputer software
dc.subject.otherAtanganum-baleanu fractional operator
dc.subject.otherBenney equations
dc.subject.otherElzaki transform
dc.subject.otherFractional derivatives
dc.subject.otherFractional operators
dc.subject.otherFractional order
dc.subject.otherHomotopy analysis transform methods
dc.subject.otherMaple software
dc.subject.otherNumerical solution
dc.subject.otherNumerical methods
dc.titleThe New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation
dc.typeConference Object
rdl.citation.openalex0
rdl.citation.scopus0
rdl.conference.date4 September 2024 through 7 September 2024
rdl.conference.placeAnkara
rdl.oa.statusgreen
rdl.oa.urlhttps://hdl.handle.net/11508/41627
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS