Analysis and numerical computations of the fractional regularized long-wave equation with damping term

Basit Öğe Kaydı
dc.authoridYavuz, Mehmet/0000-0002-3966-6518
dc.authoridSulaiman, Tukur Abdulkadir/0000-0001-7284-8332
dc.authoridbulut, hasan/0000-0002-6089-1517
dc.authorwosidYavuz, Mehmet/G-9422-2018
dc.authorwosidUsta, Fuat/ABE-1004-2020
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorSulaiman, Tukur Abdulkadir
dc.contributor.authorUsta, Fuat
dc.contributor.authorBulut, Hasan
dc.date.accessioned2021-12-01T18:50:41Z
dc.date.available2021-12-01T18:50:41Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractThis study explores the fractional damped generalized regularized long-wave equation in the sense of Caputo, Atangana-Baleanu, and Caputo-Fabrizio fractional derivatives. With the aid of fixed-point theorem in the Atangana-Baleanu fractional derivative with Mittag-Leffler-type kernel, we show the existence and uniqueness of the solution to the damped generalized regularized long-wave equation. The modified Laplace decomposition method (MLDM) defined in the sense of Caputo, Atangana-Baleanu, and Caputo-Fabrizio (in the Riemann sense) operators is used in securing the approximate-analytical solutions of the nonlinear model. The numerical simulations of the obtained solutions are performed with different suitable values of rho, which is the order of fractional parameter. We have seen the effect of the various parameters and variables on the displacement in figures.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipM. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1002/mma.6343
dc.identifier.endpage7555en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85082819289en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage7538en_US
dc.identifier.urihttps://doi.org/10.1002/mma.6343
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10913
dc.identifier.volume44en_US
dc.identifier.wosWOS:000520542100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAtangana-Baleanu derivativeen_US
dc.subjectCaputo derivativeen_US
dc.subjectCaputo-Fabrizio derivativeen_US
dc.subjectexistenceen_US
dc.subjectnonlinear wavesen_US
dc.subjectuniquenessen_US
dc.subjectKernelen_US
dc.subjectDerivativesen_US
dc.subjectFrameen_US
dc.subjectModelen_US
dc.titleAnalysis and numerical computations of the fractional regularized long-wave equation with damping termen_US
dc.typeArticleen_US

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