Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives

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dc.contributor.authorZhou, Mei-Xiu
dc.contributor.authorKanth, A. S. V. Ravi
dc.contributor.authorAruna, K.
dc.contributor.authorRaghavendar, K.
dc.contributor.authorRezazadeh, Hadi
dc.contributor.authorİnç, Mustafa
dc.contributor.authorAly, Ayman A.
dc.date.accessioned2026-08-12T18:06:59Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.
dc.description.sponsorshipTaif University, Taif, Saudi Arabia [TURSP-2020/77]; National Natural Science Foundation of China [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]
dc.description.sponsorshipThe research was supported by the Taif University Researchers Supporting Project number (TURSP-2020/77), Taif University, Taif, Saudi Arabia, and the National Natural Science Foundation of China (Grant Nos. 11971142, 11871202, 61673169, 11701176, 11626101, and 11601485).
dc.identifier.doi10.1155/2021/9884027
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.orcid0000-0002-2862-5606
dc.identifier.orcid0000-0003-3800-8406
dc.identifier.orcid0000-0001-9582-6662
dc.identifier.orcid0000-0002-5266-7945
dc.identifier.orcid0000-0003-4996-8373
dc.identifier.scopus2-s2.0-85112032063
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2021/9884027
dc.identifier.urihttps://hdl.handle.net/11508/62533
dc.identifier.volume2021
dc.identifier.wosWOS:000683141200002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofJournal of Function Spaces
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectModel
dc.subjectControllers
dc.subjectStability
dc.subjectAlgorithm
dc.subjectCaputo
dc.titleNumerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives
dc.typeArticle

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