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Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus

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Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus

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dc.contributor.author García Bernabé, Abel es_ES
dc.contributor.author Hernandez, S.I. es_ES
dc.contributor.author Castillo, L. F. del es_ES
dc.contributor.author Jou, David es_ES
dc.date.accessioned 2017-09-28T11:17:59Z
dc.date.available 2017-09-28T11:17:59Z
dc.date.issued 2016-12
dc.identifier.issn 2227-7390
dc.identifier.uri http://hdl.handle.net/10251/88162
dc.description.abstract [EN] The main objective of this paper is to generalize the Extended Irreversible Thermodynamics in order to include the anomalous transport in systems in non-equilibrium conditions. Considering the generalized entropy, the corresponding flux and entropy production, and using the time fractional derivative, we have derived a space-time generalized telegrapher's equation with a fractional nested hierarchy which can be used in separate developments for the mass transport, for the heat conduction and for the flux of ions. We have obtained a new formalism which includes the contribution of fast of higher-order fluxes in the mesoscopic and inhomogeneous media. The results take the form of continued fraction expansions. The balance equations are used in a scheme of continued fractions, and they appear as a closure condition. In this way the transport equation and its corresponding wave number-frequency relation are obtained, both of them in the mathematical structure of the continued fraction scheme. Numerical examples are included to show the dispersive nature of the solutions, and the generalized fractional transport equation in the same mathematical form, which can be applied to the mass transport, the heat conduction and the flux of ions. es_ES
dc.language Inglés es_ES
dc.publisher MDPI es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Transport phenomena es_ES
dc.subject anomalous transport es_ES
dc.subject continued fraction es_ES
dc.subject Extended Irreversible Thermodynamics es_ES
dc.subject.classification MAQUINAS Y MOTORES TERMICOS es_ES
dc.subject.classification TERMODINAMICA APLICADA (UPV) es_ES
dc.title Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math4040067
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Termodinámica Aplicada - Departament de Termodinàmica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials es_ES
dc.description.bibliographicCitation Garcia Bernabe, A.; Hernandez, S.; Castillo, LFD.; Jou, D. (2016). Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus. Mathematics. 4(4). doi:10.3390/math4040067 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.3390/math4040067 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 327217 es_ES


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