ANALYTICAL AND NUMERICAL SOLUTIONS FOR TIME-FRACTIONAL NEW COUPLED MKDV EQUATION ARISING IN INTERACTION OF TWO LONG WAVES

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dc.authorscopusid36905749100
dc.authorscopusid55757060900
dc.authorscopusid56513462000
dc.authorscopusid7005872966
dc.contributor.authorTasbozan, Orkun
dc.contributor.authorŞenol, Mehmet
dc.contributor.authorKurt, Ali
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-09-19T15:45:39Z
dc.date.available2024-09-19T15:45:39Z
dc.date.issued2019
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe aim of this paper is to present new exact solution sets of nonlinear conformable time-fractional new coupled mKdV equations which arise in interaction of two long waves with different dispersion relations by means of sub-equation method. In addition, we also propose an analytical-approximate method namely residual power series method (RPSM) for the system. The fractional derivatives have been explained in newly defined conformable type, during the solution procedure. The exact solutions of the system obtained by the sub-equation method have been compared to approximate solutions derived by RPSM. The results showed that both methods are robust, dependable, easy to apply and a good alternative for seeking solutions of fractional partial differential equations. © 2019 Asia Pacific Journal of Mathematics.en_US
dc.identifier.doi10.28924/APJM/6-13
dc.identifier.issn2357-2205
dc.identifier.scopus2-s2.0-85098219803en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.28924/APJM/6-13
dc.identifier.urihttps://hdl.handle.net/20.500.12483/14821
dc.identifier.volume6en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAsia Pacific Academicen_US
dc.relation.ispartofAsia Pacific Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectNew Coupled mKdV Equationen_US
dc.subjectResidual power series methoden_US
dc.subjectSub-equation methoden_US
dc.titleANALYTICAL AND NUMERICAL SOLUTIONS FOR TIME-FRACTIONAL NEW COUPLED MKDV EQUATION ARISING IN INTERACTION OF TWO LONG WAVESen_US
dc.typeArticleen_US

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