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New Fractional Derivatives With Non-Singular Kernel Applied to the Burgers Equation

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dc.contributor.author Saad, Khaled M.
dc.contributor.author Atangana, Abdon
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-28T21:08:59Z
dc.date.available 2020-03-28T21:08:59Z
dc.date.issued 2018-06
dc.identifier.citation Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru, "New fractional derivatives with non-singular kernel applied to the Burgers equation", Chaos, Vol, 28, No. 6, (2018) tr_TR
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/20.500.12416/2779
dc.description.abstract In this paper, we extend the model of the Burgers (B) to the new model of time fractional Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) fractional time derivatives, respectively. We utilize the Homotopy Analysis Transform Method (HATM) to compute the approximate solutions of TFB using LC, CF, and ML in the Liouville-Caputo sense. We study the convergence analysis of HATM by computing the interval of the convergence, the residual error function (REF), and the average residual error (ARE), respectively. The results are very effective and accurate. Published by AIP Publishing. tr_TR
dc.language.iso eng tr_TR
dc.publisher Amer Inst Physics tr_TR
dc.relation.isversionof 10.1063/1.5026284 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Traveling-Wave Solutions tr_TR
dc.subject Homotopy Analysis Method tr_TR
dc.subject De-Vries Equation tr_TR
dc.subject Diffusion tr_TR
dc.subject Model tr_TR
dc.subject Space tr_TR
dc.title New Fractional Derivatives With Non-Singular Kernel Applied to the Burgers Equation tr_TR
dc.type article tr_TR
dc.relation.journal Chaos tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 28 tr_TR
dc.identifier.issue 6 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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