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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
gdc.author.scopusid 36903183800
gdc.author.scopusid 57196518713
gdc.author.scopusid 36450796300
gdc.author.scopusid 57193690600
gdc.author.scopusid 55950421900
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
gdc.author.yokid 56389
gdc.bip.impulseclass C3
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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
gdc.description.wosquality Q1
gdc.identifier.openalex W3135122000
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gdc.index.type Scopus
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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
gdc.oaire.keywords Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
gdc.oaire.popularity 3.5466936E-8
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gdc.oaire.sciencefields 0103 physical sciences
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 41
gdc.plumx.crossrefcites 41
gdc.plumx.mendeley 9
gdc.plumx.scopuscites 42
gdc.publishedmonth 9
gdc.scopus.citedcount 45
gdc.virtual.author Baleanu, Dumitru
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