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A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves

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dc.contributor.author Arqub, Omar Abu
dc.contributor.author Al-Smadi, Mohammed
dc.contributor.author Almusawa, Hassan
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Hayat, Tasawar
dc.contributor.author Alhodaly, Mohammed
dc.contributor.author Osman, M.S.
dc.date.accessioned 2024-02-09T11:41:29Z
dc.date.available 2024-02-09T11:41:29Z
dc.date.issued 2022-07
dc.identifier.citation Arqub, Omar Abu;...et.al. (2022). "A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves", Alexandria Engineering Journal, Vol.61, No.7, pp.5753-5769. tr_TR
dc.identifier.issn 11100168
dc.identifier.uri http://hdl.handle.net/20.500.12416/7155
dc.description.abstract The purpose of this research is to study, investigate, and analyze a class of temporal time-FNEE models with time-FCDs that are indispensable in numerous nonlinear wave propagation phenomena. For this purpose, an efficient semi-analytical algorithm is developed and designed in view of the residual error terms for solving a class of fifth-order time-FCKdVEs. The analytical solutions of a dynamic wavefunction of the fractional Ito, Sawada-Kotera, Lax's Korteweg-de Vries, Caudrey-Dodd-Gibbon, and Kaup-Kupershmidt equations are provided in the form of a convergent conformable time-fractional series. The related consequences are discussed both theoretically as well as numerically considering the conformable sense. In this direction, convergence analysis and error estimates of the developed algorithm are studied and analyzed as well. Concerning the considered models, specific unidirectional physical experiments are given in a finite compact regime to confirm the theoretical aspects and to demonstrate the superiority of the novel algorithm compared to the other existing numerical methods. Moreover, some representative results are presented in two- and three-dimensional graphs, whilst dynamic behaviors of fractional parameters are reported for several α values. From the practical viewpoint, the archived simulations and consequences justify that the iterative algorithm is a straightforward and appropriate tool with computational efficiency for long-wavelength solutions of nonlinear time-FPDEs in physical phenomena. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2021.12.044 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Conformable Derivative tr_TR
dc.subject Fractional Conformable Korteweg-De Vries Equations tr_TR
dc.subject Fractional Conformable Residual Power Series Algorithm tr_TR
dc.subject Fractional Nonlinear Evolution Equation tr_TR
dc.subject Shallow Water Surfaces tr_TR
dc.title A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 61 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 5753 tr_TR
dc.identifier.endpage 5769 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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