The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations

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dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.buuauthorGiresunlu, İlker Burak
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0003-4732-5753tr_TR
dc.contributor.researcheridAAG-9947-2021tr_TR
dc.contributor.scopusid23471031300tr_TR
dc.contributor.scopusid56971548600tr_TR
dc.date.accessioned2022-11-28T12:37:51Z
dc.date.available2022-11-28T12:37:51Z
dc.date.issued2015-10-01
dc.description.abstractIn this work, we present (G'/G,1/G)-expansion method for solving fractional differential equations based on a fractional complex transform. We apply this method for solving space-time fractional Cahn-Allen equation and space-time fractional Klein-Gordon equation. The fractional derivatives are described in the sense of modified Riemann-Lioville. As a result of some exact solution in the form of hyperbolic, trigonometric and rational solutions are deduced. The obtained solutions may be used for explaining of some physical problems. The (G'/G,1/G)-expansion method has a wider applicability for nonlinear equations. We have verified all the obtained solutions with the aid of Maple.en_US
dc.identifier.citationYaşar, E. ve Giresunlu, İ. B. (2016). "The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations". Pramana-Journal of Physics, 87(2).en_US
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue2tr_TR
dc.identifier.scopus2-s2.0-84983073947tr_TR
dc.identifier.urihttps://doi.org/10.1007/s12043-016-1225-7
dc.identifier.urihttps://link.springer.com/article/10.1007/s12043-016-1225-7
dc.identifier.urihttp://hdl.handle.net/11452/29600
dc.identifier.volume87tr_TR
dc.identifier.wos000382006700001
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.journalPramana-Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPhysicsen_US
dc.subjectExact solutionen_US
dc.subjectModifieden_US
dc.subjectRiemann-Liouville fractional derivativeen_US
dc.subjectSpace-time Cahn-Allen equationen_US
dc.subjectSpace-time Klein-Gordon equationen_US
dc.subject(G '/G,1/G)-expansion methoden_US
dc.subjectComplex transformen_US
dc.subjectEquations of motionen_US
dc.subjectExact solutionen_US
dc.subjectExpansion methodsen_US
dc.subjectKlein-Gordon equationen_US
dc.subjectRiemann-Liouville fractional derivativesen_US
dc.subjectSpace timeen_US
dc.subjectNonlinear equationstr_TR
dc.subject.scopusFractional Differential Equation; Exact Solution; Korteweg-de Vries Equationen_US
dc.subject.wosPhysics, multidisciplinaryen_US
dc.titleThe (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equationsen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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