On generalized fractional Cattaneo’s equations

G. Fernandez-Anaya, F.J. Valdes-Parada and J. Alvarez-Ramirez

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4198-4202

Abstract: This paper studies a family of generalized fractional Cattaneo’s equations for which passive (i.e., spontaneous) transport is possible. This is done by using fractional substitutions in integer-order rational transfer functions and showing conditions for positive realness.

Keywords: Diffusion; Cattaneo’s equation; Generalized Fick’s law; Fractional; Passivity; Spontaneous transport (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4198-4202

DOI: 10.1016/j.physa.2011.07.001

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