Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

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dc.authorid0000-0001-7322-1339
dc.authorid0000-0003-4773-1313
dc.contributor.authorİskenderoğlu, Gülistan
dc.contributor.authorKaya, Doğan
dc.date.accessioned2024-10-12T19:47:13Z
dc.date.available2024-10-12T19:47:13Z
dc.date.issued2024
dc.departmentİstanbul Ticaret Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentİstanbul Ticaret Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we consider model equations K(m,n) with fractional Caputo time derivatives. By applying the Lie group symmetry method, we determine all symmetries for these equations and present the reduced symmetric equations for the equation K(m,n) with fractional Caputo time derivatives. Furthermore, we obtain the exact solution for K(1,1) with the fractional Caputo time derivative and provide graphs depicting the behavior at different orders of the fractional time derivative. Additionally, by considering the symmetries of the equation, we establish the conservation laws for K(m,m) with the fractional Caputo time derivative. en_US
dc.identifier.citationİskenderoğlu, G., & Kaya D. (2024). Lie Symmetry Analysis of Caputo Time-Fractional K(m,n) Model Equations with Variable Coefficients. Sigma Journal of Engineering and Natural Sciences, 42(3), 885-899.
dc.identifier.doi10.14744/sigma.2024.00078
dc.identifier.endpage899en_US
dc.identifier.issn1304-7191
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85200631235en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage885en_US
dc.identifier.urihttps://doi.org/10.14744/sigma.2024.00078
dc.identifier.urihttps://hdl.handle.net/11467/8821
dc.identifier.volume42en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherYildiz Technical Universityen_US
dc.relation.ispartofSigma Journal of Engineering and Natural Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLie Groupsen_US
dc.subjectConservation Lawsen_US
dc.subjectFractional Calculusen_US
dc.subjectNonlinear Differential Equationsen_US
dc.titleLie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficientsen_US
dc.typeArticleen_US

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