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New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method

dc.contributor.authorAl-Qurashi, Maysaa
dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorTahir, Madeeha
dc.contributor.authorAlsharif, Abdullah M.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-06-28T11:13:26Z
dc.date.available2022-06-28T11:13:26Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research, the Shehu transform is coupled with the Adomian decomposition method for obtaining the exact-approximate solution of the plasma fluid physical model, known as the Zakharov-Kuznetsov equation (briefly, ZKE) having a fractional order in the Caputo sense. The Laplace and Sumudu transforms have been refined into the Shehu transform. The action of weakly nonlinear ion acoustic waves in a plasma carrying cold ions and hot isothermal electrons is investigated in this study. Important fractional derivative notions are discussed in the context of Caputo. The Shehu decomposition method (SDM), a robust research methodology, is effectively implemented to generate the solution for the ZKEs. A series of Adomian components converge to the exact solution of the assigned task, demonstrating the solution of the suggested technique. Furthermore, the outcomes of this technique have generated important associations with the precise solutions to the problems being researched. Illustrative examples highlight the validity of the current process. The usefulness of the technique is reinforced via graphical and tabular illustrations as well as statistics theory. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).en_US
dc.identifier.citationAl-Qurashi, Maysaa...et al. (2022). "New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method", AIMS Mathematics, Vol. 7, No. 2, pp. 2044-2060.en_US
dc.identifier.doi10.3934/math.2022117
dc.identifier.endpage2060en_US
dc.identifier.issn2473-6988
dc.identifier.issue2en_US
dc.identifier.startpage2044en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5711
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalysis of Varianceen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectIterative Transform Methoden_US
dc.subjectShehu Transformen_US
dc.subjectZakharov-Kuznetsov Equationen_US
dc.titleNew computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition methodtr_TR
dc.titleNew Computations for the Two-Mode Version of the Fractional Zakharov-Kuznetsov Model in Plasma Fluid by Means of the Shehu Decomposition Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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