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On the approximate solution of fractional-order Whitham-Broer-Kaup equations

dc.contributor.authorKhan, Hassan
dc.contributor.authorGómez-Aguilar, J.F.
dc.contributor.authorAlderremy, A.A.
dc.contributor.authorAly, Shaban
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-11-11T11:37:17Z
dc.date.available2022-11-11T11:37:17Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the Homotopy perturbation Laplace method is implemented to investigate the solution of fractional-order Whitham-Broer-Kaup equations. The derivative of fractional-order is described in Caputo's sense. To show the reliability of the suggested method, the solution of certain illustrative examples are presented. The results of the suggested method are shown and explained with the help of its graphical representation. The solutions of fractional-order problems as well as integer-order problems are determined by using the present technique. It has been observed that the obtained solutions are in significant agreement with the actual solutions to the targeted problems. Computationally, it has been analyzed that the solutions at different fractional-orders have a higher rate of convergence to the solution at integer-order of the derivative. Due to the analytical analysis of the problems, this study can further modify the solution of other fractional-order problems. © 2021 World Scientific Publishing Company.en_US
dc.description.publishedMonth4
dc.identifier.citationKhan, Hassan...at all (2021). "On the approximate solution of fractional-order Whitham-Broer-Kaup equations", Modern Physics Letters B, Vol. 35, No. 11.en_US
dc.identifier.doi10.1142/S021798492150192X
dc.identifier.issn0217-9849
dc.identifier.issue11en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5861
dc.identifier.volume35en_US
dc.language.isoenen_US
dc.relation.ispartofModern Physics Letters Ben_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo Operatoren_US
dc.subjectHomotopy Perturbation Methoden_US
dc.subjectLaplace Transformen_US
dc.subjectWhitham-Broer-Kaup Equationsen_US
dc.titleOn the approximate solution of fractional-order Whitham-Broer-Kaup equationstr_TR
dc.titleOn the Approximate Solution of Fractional-Order Whitham-Broer Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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