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Exact solutions of the Laplace fractional boundary value problems via natural decomposition method

dc.contributor.authorHajira
dc.contributor.authorKhan, Hassan
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorShah, Rasool
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorArif, Muhammad
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-04-20T12:02:41Z
dc.date.available2022-04-20T12:02:41Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, exact solutions of some Laplace-type fractional boundary value problems (FBVPs) are investigated via natural decomposition method. The fractional derivatives are described within Caputo operator. The natural decomposition technique is applied for the first time to boundary value problems (BVPs) and found to be an excellent tool to solve the suggested problems. The graphical representation of the exact and derived results is presented to show the reliability of the suggested technique. The present study is mainly concerned with the approximate analytical solutions of some FBVPs. Moreover, the solution graphs have shown that the actual and approximate solutions are very closed to each other. The comparison of the proposed and variational iteration methods is done for integer-order problems. The comparison, support strong relationship between the results of the suggested techniques. The overall analysis and the results obtained have confirmed the effectiveness and the simple procedure of natural decomposition technique for obtaining the solution of BVPs. © 2020 Hajira et al., published by De Gruyter 2020.en_US
dc.description.publishedMonth1
dc.identifier.citationHajira...et al (2020). "Exact solutions of the Laplace fractional boundary value problems via natural decomposition method", Open Physics, Vol. 18, No. 1, pp. 1178-1187.en_US
dc.identifier.doi10.1515/phys-2020-0196
dc.identifier.endpage1187en_US
dc.identifier.issn2391-5471
dc.identifier.issue1en_US
dc.identifier.startpage1178en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5404
dc.identifier.volume18en_US
dc.language.isoenen_US
dc.relation.ispartofOpen Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytical Procedureen_US
dc.subjectCaputo Type Derivativeen_US
dc.subjectLaplace Equationsen_US
dc.subjectNatural Transformationen_US
dc.titleExact solutions of the Laplace fractional boundary value problems via natural decomposition methodtr_TR
dc.titleExact Solutions of the Laplace Fractional Boundary Value Problems Via Natural Decomposition Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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