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10 p, 1.7 MB Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus / Garcia-Bernabé, Abel (Universitat Politècnica de Valencia. Departament de Termodinàmica Aplicada) ; Hernández, Saul Iván (Universidad Nacional Autónoma de México. Facultad de Ciencias) ; del Castillo, L. F. (Universidad Nacional Autónoma de México. Instituto de Investigaciones en Materiales) ; Jou i Mirabent, David, 1953- (Universitat Autònoma de Barcelona. Departament de Física)
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. [...]
2016 - 10.3390/math4040067
Mathematics, Vol. 4 Núm. 4 (2016) , p. 1-10  

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