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Derivation of a fractional Boussinesq equation for modelling unconfined groundwater

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dc.contributor.author Mehdinejadiani, B.
dc.contributor.author Jafari, H.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-15T08:56:22Z
dc.date.available 2020-05-15T08:56:22Z
dc.date.issued 2013-09
dc.identifier.citation Mehdinejadiani, B.; Jafari, H.; Baleanu, Dumitru, "Derivation of a fractional Boussinesq equation for modelling unconfined groundwater" European Physical Journal-Special Topics, Vol.222, No.8, pp.1805-1812, (2013). tr_TR
dc.identifier.issn 1951-6355
dc.identifier.uri http://hdl.handle.net/20.500.12416/3830
dc.description.abstract In this manuscript, a fractional Boussinesq equation is obtained by assuming power-law changes of flux in a control volume and using a fractional Taylor series. Furthermore, it was assumed that the average thickness of the watery layer of an aquifer is constant, and the linear fractional Boussinesq equation was derived. Unlike classical Boussinesq equation, due to the non-locality property of fractional derivatives, the parameters of the fractional Boussinesq equation are constant and scale-invariant. In addition, the fractional Boussinesq equation has two various fractional orders of differentiation with respect to x and y that indicate the degree of heterogeneity in the x and y directions, respectively. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Heidelberg tr_TR
dc.relation.isversionof 10.1140/epjst/e2013-01965-1 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Solute Transport tr_TR
dc.subject Dispersion tr_TR
dc.subject Flow tr_TR
dc.title Derivation of a fractional Boussinesq equation for modelling unconfined groundwater tr_TR
dc.type article tr_TR
dc.relation.journal European Physical Journal-Special Topics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 222 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 1805 tr_TR
dc.identifier.endpage 1812 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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