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Analytic Solution of Space Time Fractional Advection Dispersion Equation With Retardation for Contaminant Transport in Porous Media

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dc.contributor.author Agarwal, Ritu
dc.contributor.author Yadav, Mahaveer Prasad
dc.contributor.author Agarwal, Ravi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-13T10:23:58Z
dc.date.available 2020-05-13T10:23:58Z
dc.date.issued 2019-10-01
dc.identifier.citation Agarwal, R...et al. (2019). "Analytic Solution of Space Time Fractional Advection Dispersion Equation With Retardation for Contaminant Transport in Porous Media",Progress in Fractional Differentiation and Applications, Vol. 5, No. 4, pp. 283-295. tr_TR
dc.identifier.issn 23569336
dc.identifier.uri http://hdl.handle.net/20.500.12416/3751
dc.description.abstract Motivated by recent applications of fractional calculus, in this paper, we derive analytical solutions of fractional advection-dispersion equation with retardation by replacing the integer order partial derivatives with fractional Riesz-Feller derivative for space variable and Caputo fractional derivative for time variable. The Laplace and Fourier transforms are applied to obtain the solution in terms of the Mittag-Leffler function. Some interesting special cases of the time-space fractional advection-dispersion equation with retardation are also considered. The composition formulas for Green function has been evaluated which enables us to express the solution of the space time fractional advection dispersion equation in terms of the solution of space fractional advection dispersion equation and time fractional advection dispersion equation. Furthermore, from this representation we derive explicit formulae, which enable us to plot the probability densities in space for the different values of the relevant parameters. tr_TR
dc.language.iso eng tr_TR
dc.publisher Natural Sciences Publishing Corporation tr_TR
dc.relation.isversionof 10.18576/pfda/050404 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject H-function tr_TR
dc.subject Caputo Derivatives tr_TR
dc.subject Laplace-Fourier Transform tr_TR
dc.subject Riesz-Feller Derivative tr_TR
dc.subject Mittag-Leffler Functions tr_TR
dc.title Analytic Solution of Space Time Fractional Advection Dispersion Equation With Retardation for Contaminant Transport in Porous Media tr_TR
dc.type article tr_TR
dc.relation.journal Progress in Fractional Differentiation and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 5 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 283 tr_TR
dc.identifier.endpage 295 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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