A unified nonlinear fractional equation of the diffusion-controlled surfactant adsorption: Reappraisal and new solution of the Ward-Tordai problem

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creativework.keywordsCauchy problem, Fractional semiderivative, Henry isotherm, Time-fractional equation, Ward-Tordai equation
creativework.publisherElsevier B.V.en
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:30Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:30Z
dc.date.issued2016-01-01
dc.description.abstractThe article addresses a reappraisal of the famous Ward-Tordai equation describing the equilibrium of surfactants at air/liquid interfaces under diffusion control. The new derivation is entirely developed in the light of fractional calculus. The unified approach demonstrates that this equation can be clearly reformulated as a nonlinear ordinary time-fractional equation of order 1/2. The work formulates versions with different isotherms. A simple solution of the case with the Henry's isotherm and a discussion of a Cauchy problem involving the Freundlich isotherm are provided.
dc.identifier.doi10.1016/j.jksus.2015.03.008
dc.identifier.issn1018-3647
dc.identifier.scopusSCOPUS_ID:84955212975en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/364
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84955212975&origin=inward
dc.titleA unified nonlinear fractional equation of the diffusion-controlled surfactant adsorption: Reappraisal and new solution of the Ward-Tordai problem
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume28
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