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An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense

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dc.contributor.authorHosseini, Kamyar
dc.contributor.authorIlie, Mousa
dc.contributor.authorMirzazadeh, Mohammad
dc.contributor.authorYusuf, Abdullahi
dc.contributor.authorSulaiman, Tukur Abdulkadi
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-11T13:52:51Z
dc.date.available2022-03-11T13:52:51Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe authors' concern of the present paper is to conduct a systematic study on a time-fractional nonlinear water wave equation which is an evolutionary version of the Boussinesq system. The study goes on by adopting a new analytical method based on the Laplace transform and the homotopy analysis method to the governing model and obtaining its approximate solutions in the presence of the Caputo fractional derivative. To analyze the influence of the Caputo operator on the dynamical behavior of the approximate solutions, some graphical illustrations in two- and three-dimensions are formally presented. Furthermore, several numerical tables are given to support the performance of the new analytical method in handling the time-fractional nonlinear water wave equation. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.en_US
dc.description.publishedMonth9
dc.identifier.citationHosseini, Kamyar...et al. (20219. "An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense", Mathematics and Computers in Simulation, Vol. 187, pp. 248-260.en_US
dc.identifier.doi10.1016/j.matcom.2021.02.021
dc.identifier.endpage260en_US
dc.identifier.issn0378-4754
dc.identifier.startpage248en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5115
dc.identifier.volume187en_US
dc.language.isoenen_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTime-Fractional Nonlinear Water Wave Equationen_US
dc.subjectCaputo Derivativeen_US
dc.subjectLaplace Transformen_US
dc.subjectHomotopy Analysis Methoden_US
dc.subjectApproximate Solutionsen_US
dc.titleAn effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sensetr_TR
dc.titleAn Effective Computational Method To Deal With a Time-Fractional Nonlinear Water Wave Equation in the Caputo Senseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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