A generalized kinetic model of the advection-dispersion process in a sorbing medium

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creativework.keywordsAdvection-dispersion process, Generalized Atangana-Baleanu time-fractional derivative, Sorbing medium
creativework.publisherEDP Sciencesen
dc.contributor.authorBaleanu D.
dc.contributor.authorKumar D.
dc.contributor.authorHristov J.
dc.contributor.authorVieru D.
dc.contributor.authorFetecau C.
dc.contributor.authorAhmed N.
dc.contributor.authorShah N.A.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:50:01Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:50:01Z
dc.date.issued2021-01-01
dc.description.abstractA new time-fractional derivative with Mittag-Leffler memory kernel, called the generalized Atangana-Baleanu time-fractional derivative is defined along with the associated integral operator. Some properties of the new operators are proved. The new operator is suitable to generate by particularization the known Atangana-Baleanu, Caputo-Fabrizio and Caputo time-fractional derivatives. A generalized mathematical model of the advection-dispersion process with kinetic adsorption is formulated by considering the constitutive equation of the diffusive flux with the new generalized time-fractional derivative. Analytical solutions of the generalized advection-dispersion equation with kinetic adsorption are determined using the Laplace transform method. The solution corresponding to the ordinary model is compared with solutions corresponding to the four models with fractional derivatives.
dc.identifier.doi10.1051/mmnp/2021022
dc.identifier.issn1760-6101
dc.identifier.issn0973-5348
dc.identifier.scopusSCOPUS_ID:85108110588en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/652
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85108110588&origin=inward
dc.titleA generalized kinetic model of the advection-dispersion process in a sorbing medium
dc.typeArticle
oaire.citation.volume16
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