FRACTIONAL BURGERS' MODEL: THERMODYNAMIC CONSTRAINTS AND COMPLETELY MONOTONIC RELAXATION FUNCTION

Fractional Burgers' constitutive equation for viscoelastic fluids is studied. Thermodynamic constraints on the parameters are discussed as well as conditions for complete monotonicity of the corresponding relaxation function. The relationship between thermodynamic compatibility of the model and...

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Published inComptes rendus de l'Academie bulgare des Sciences Vol. 69; no. 7; p. 825
Main Authors Bazhlekova, Emilia, Tsocheva, Ksenia
Format Journal Article
LanguageEnglish
Published Bulgarian Academy of Sciences 01.01.2016
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ISSN1310-1331

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Summary:Fractional Burgers' constitutive equation for viscoelastic fluids is studied. Thermodynamic constraints on the parameters are discussed as well as conditions for complete monotonicity of the corresponding relaxation function. The relationship between thermodynamic compatibility of the model and complete monotonicity of the relaxation function is analyzed.Key words: Riemann-Liouville fractional derivative, completely monotonic function, Mittag-Leffler function, viscoelastic fluid2010 Mathematics Subject Classification: 26A33, 33E12, 34A08, 74D05
ISSN:1310-1331