A method for solving the generalized Camassa-Choi problem with the Mittag-Leffler function and temporal local derivative

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dc.authoridHassan, Ahmed/0000-0002-1369-326X
dc.authoridBayram, Mustafa/0000-0002-2994-7201
dc.authoridHashemi, Mir Sajjad/0000-0002-5529-3125
dc.contributor.authorHashemi, Mir Sajjad
dc.contributor.authorAkguel, Ali
dc.contributor.authorHassan, Ahmed
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-12-24T19:25:18Z
dc.date.available2024-12-24T19:25:18Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper focuses on a reduction technique to discover exact solutions for the generalized Camassa-Choi equation with temporal local M-derivative. The paper presents various types of exact solutions along with their corresponding first integrals. Furthermore, the interactions between the orders of alpha and beta in the M-derivative are taken into account and depicted graphically for the derived solutions. Remarkably, the paper demonstrates that in certain situations, exact solutions can be obtained for any value of n, which holds significant mathematical intrigue. The authors note that Nucci's reduction technique has not previously been employed for differential equations with M-derivative, to the best of their knowledge.
dc.identifier.doi10.1016/j.aej.2023.09.034
dc.identifier.endpage443
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85171539512
dc.identifier.scopusqualityQ1
dc.identifier.startpage437
dc.identifier.urihttps://doi.org/10.1016/j.aej.2023.09.034
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6338
dc.identifier.volume81
dc.identifier.wosWOS:001088521000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNucci's reduction method
dc.subjectLocal M-derivative
dc.subjectGeneralized Camassa-Choi equation
dc.titleA method for solving the generalized Camassa-Choi problem with the Mittag-Leffler function and temporal local derivative
dc.typeArticle

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