Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel

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dc.contributor.authorSulaiman, Tukur Abdulkadir
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorBulut, Hasan
dc.contributor.authorBaskonus, Haci Mehmet
dc.date.accessioned2024-02-23T14:13:24Z
dc.date.available2024-02-23T14:13:24Z
dc.date.issued2019
dc.departmentNEÜen_US
dc.description.abstractThis study investigates the fractional coupled viscous Burgers' equation under the Liouville-Caputo, Atangana-Baleanu and Yang-Srivastava-Machado fractional derivatives. With the help of fixed-point theorem, and using the Atangana-Baleanu fractional derivative with Mittag-Leffler kernel type kernel, we proved the existence and uniqueness of the studied model. The Laplace Homotopy perturbation method (LPM) defined with the Liouville-Caputo, Atangana-Baleanu and Yang-Srivastava-Machado operators is used in obtaining the exact solutions of the nonlinear model. The numerical simulations of the obtained solutions are performed. We have seen the effect of the various parameters and variables on the displacement in Figs. 1-6. (C) 2019 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.physa.2019.121126
dc.identifier.issn0378-4371
dc.identifier.issn1873-2119
dc.identifier.scopus2-s2.0-85065514369en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.physa.2019.121126
dc.identifier.urihttps://hdl.handle.net/20.500.12452/12428
dc.identifier.volume527en_US
dc.identifier.wosWOS:000480625700065en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofPhysica A-Statistical Mechanics And Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Coupled Viscous Burgers' Equationen_US
dc.subjectLiouville-Caputo Derivativeen_US
dc.subjectAtangana-Baleanu Fractional Derivativeen_US
dc.subjectYang-Srivastava-Machado Derivativeen_US
dc.subjectLaplace Homotopy Perturbation Methoden_US
dc.titleInvestigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernelen_US
dc.typeArticleen_US

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