An Effective Computational Method To Deal With a Time-Fractional Nonlinear Water Wave Equation in the Caputo Sense
| dc.contributor.author | Ilie, Mousa | |
| dc.contributor.author | Mirzazadeh, Mohammad | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Sulaiman, Tukur Abdulkadir | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Salahshour, Soheil | |
| dc.contributor.author | Hosseini, Kamyar | |
| dc.date.accessioned | 2022-03-11T13:52:51Z | |
| dc.date.accessioned | 2025-09-18T14:10:38Z | |
| dc.date.available | 2022-03-11T13:52:51Z | |
| dc.date.available | 2025-09-18T14:10:38Z | |
| dc.date.issued | 2021 | |
| dc.description | Ilie, Mousa/0000-0002-1165-8815; Salahshour, Soheil/0000-0003-1390-3551; Sulaiman, Tukur Abdulkadir/0000-0001-7284-8332 | en_US |
| 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. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1016/j.matcom.2021.02.021 | |
| dc.identifier.issn | 0378-4754 | |
| dc.identifier.issn | 1872-7166 | |
| dc.identifier.scopus | 2-s2.0-85102562286 | |
| dc.identifier.uri | https://doi.org/10.1016/j.matcom.2021.02.021 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13751 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Mathematics and Computers in Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Time-Fractional Nonlinear Water Wave Equation | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Approximate Solutions | en_US |
| dc.title | An Effective Computational Method To Deal With a Time-Fractional Nonlinear Water Wave Equation in the Caputo Sense | en_US |
| 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 | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Sulaiman, Tukur Abdulkadir/0000-0001-7284-8332 | |
| gdc.author.id | Ilie, Mousa/0000-0002-1165-8815 | |
| gdc.author.id | Salahshour, Soheil/0000-0003-1390-3551 | |
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| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Salahshour, Soheil/K-4817-2019 | |
| gdc.author.wosid | Sulaiman, Tukur/Gsd-2604-2022 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
| gdc.author.wosid | Mirzazadeh, Mohammad/Y-3202-2019 | |
| gdc.author.wosid | Hosseini, Kamyar/J-7345-2019 | |
| gdc.author.wosid | Ilie, Mousa/Aao-4295-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Hosseini, Kamyar; Ilie, Mousa] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran; [Mirzazadeh, Mohammad] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, PC 44891-63157, Rudsar Vajargah, Iran; [Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir] Biruni Univ, Dept Comp Engn, Istanbul, Turkey; [Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir] Fed Univ Dutse, Dept Math, Jigawa, Nigeria; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40447, Taiwan; [Salahshour, Soheil] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey | en_US |
| gdc.description.endpage | 260 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 248 | en_US |
| gdc.description.volume | 187 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Caputo Derivative | |
| gdc.oaire.keywords | Time-Fractional Nonlinear Water Wave Equation | |
| gdc.oaire.keywords | Laplace Transform | |
| gdc.oaire.keywords | Homotopy Analysis Method | |
| gdc.oaire.keywords | Approximate Solutions | |
| gdc.oaire.keywords | Water waves, gravity waves; dispersion and scattering, nonlinear interaction | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | homotopy analysis method | |
| gdc.oaire.keywords | Basic methods in fluid mechanics | |
| gdc.oaire.keywords | approximate solutions | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.keywords | Wave equation | |
| gdc.oaire.keywords | time-fractional nonlinear water wave equation | |
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