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Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus

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dc.contributor.author Atangana, Abdon
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-20T13:07:48Z
dc.date.available 2020-05-20T13:07:48Z
dc.date.issued 2014-12
dc.identifier.citation Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus By:Atangana, A (Atangana, Abdon)[ 1 ] ; Baleanu, D (Baleanu, Dumitru)[ 2,3,4 ] tr_TR
dc.identifier.issn 0020-7462
dc.identifier.uri http://hdl.handle.net/20.500.12416/3964
dc.description.abstract The model describing the mitigation of contamination through ventilation inside a moving waterway polluted via dispersed bases together with connected reduction of liquefied oxygen was investigated within the scope of fractional derivatives. The steady-state cases were investigated using some Caputo derivatives properties. The steady-state solutions in presence and absence of the dispersion were derived in terms of the Mittag-Leffler function. In the case of non-steady state, we derived the solution of the first equation in terms of the a-stable error function via the Laplace transform method. To solve the second equation, we constructed the fractional Green function via the Laplace, Fourier and Mellin transforms. The fractional Green function was expressed by mean of the H-function. Particularly, we presented the selected numerical results a function of distance and a. (C) 2014 Elsevier Ltd. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.ijnonlinmec.2014.09.010 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Rivers pollution tr_TR
dc.subject Steady state tr_TR
dc.subject Fourier; Laplace and Mellin transform operators tr_TR
dc.subject Mittag-Leffler function and H-function tr_TR
dc.subject Fractional green function tr_TR
dc.subject PROPAGATION tr_TR
dc.title Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus tr_TR
dc.type article tr_TR
dc.relation.journal INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS tr_TR
dc.identifier.volume Volume: 67 tr_TR
dc.identifier.startpage 278 tr_TR
dc.identifier.endpage 284 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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