Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation

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dc.contributor.authorKaya, Doğan
dc.contributor.authorİskandarova, Gülistan
dc.date.accessioned2020-11-21T15:53:49Z
dc.date.available2020-11-21T15:53:49Z
dc.date.issued2019en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe Lie group analysis or in other word the symmetry analysis method is extended to deal with a timefractional order derivative nonlinear generalized KdV equation. Our research in this work aims to use transformation methods and their analysis to search for exact solutions to the nonlinear generalized KdV differential equation. It is shown that this equation can be reduced to an equation with Erdelyi-Kober fractional derivative. In this study, we research the initial and boundary conditions, considering them invariant, and so we get two ordinary initial value problems, i.e. two Cauchy problems. Conservation laws for the given equation are also investigated. In this work, we introduce symmetry analysis and find conservation laws for the nonlinear generalized time-fractional KdV equation by the Lie groups method using fractional derivatives in the Riemann-Liouville sense. © Tübitak.en_US
dc.identifier.doi10.3906/mat-1803-72en_US
dc.identifier.endpage1275en_US
dc.identifier.issn1300-0098
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85067361146en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1263en_US
dc.identifier.trdizinid336907en_US
dc.identifier.urihttps://doi.org/10.3906/mat-1803-72
dc.identifier.urihttps://hdl.handle.net/11467/3692
dc.identifier.volume43en_US
dc.identifier.wosWOS:000475501700015en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherTUBITAKen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConservation lawsen_US
dc.subjectGeneralized KdV equationen_US
dc.subjectLie groups methoden_US
dc.subjectRiemann-Liouville derivativeen_US
dc.titleLie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equationen_US
dc.typeArticleen_US

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