On the Solution of Burgers' Equation with the New Fractional Derivative

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dc.contributor.authorKurt, Ali
dc.contributor.authorCenesiz, Yucel
dc.contributor.authorTasbozan, Orkun
dc.date.accessioned2024-09-18T20:26:48Z
dc.date.available2024-09-18T20:26:48Z
dc.date.issued2015
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractFirstly in this article, the exact solution of a time fractional Burgers' equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found by Hopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger's equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter (h) over bar which we also determine. The numerical solution of Burgers' equation with the analytical solution obtained by using the Hopf-Cole transform is compared.en_US
dc.identifier.doi10.1515/phys-2015-0045
dc.identifier.endpage360en_US
dc.identifier.issn2391-5471
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84949188184en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage355en_US
dc.identifier.urihttps://doi.org/10.1515/phys-2015-0045
dc.identifier.urihttps://hdl.handle.net/20.500.12483/10539
dc.identifier.volume13en_US
dc.identifier.wosWOS:000369101700028en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSciendoen_US
dc.relation.ispartofOpen Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHopf-Cole Transformen_US
dc.subjectTime Fractional Burgers' Equationen_US
dc.subjectConformable Fractional Derivativeen_US
dc.subjectTime Fractional Heat Equationen_US
dc.subjectHomotopy Analysis Methoden_US
dc.titleOn the Solution of Burgers' Equation with the New Fractional Derivativeen_US
dc.typeArticleen_US

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