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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.author Hosseini, Kamyar
dc.contributor.author Ilie, Mousa
dc.contributor.author Mirzazadeh, Mohammad
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Sulaiman, Tukur Abdulkadi
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Salahshour, Soheil
dc.date.accessioned 2022-03-11T13:52:51Z
dc.date.available 2022-03-11T13:52:51Z
dc.date.issued 2021-09
dc.identifier.citation Hosseini, 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. tr_TR
dc.identifier.issn 0378-4754
dc.identifier.uri http://hdl.handle.net/20.500.12416/5115
dc.description.abstract The 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.matcom.2021.02.021 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Time-Fractional Nonlinear Water Wave Equation tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Laplace Transform tr_TR
dc.subject Homotopy Analysis Method tr_TR
dc.subject Approximate Solutions tr_TR
dc.title An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics and Computers in Simulation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 187 tr_TR
dc.identifier.startpage 248 tr_TR
dc.identifier.endpage 260 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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