Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation

DOI10.1063/1.5001555zbMath1381.35064arXiv1708.08341OpenAlexW3165188403WikidataQ113854259 ScholiaQ113854259MaRDI QIDQ3134142

Andrea Giusti

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08341

zbMATH Keywords

group and phase velocities

Mathematics Subject Classification ID

Heat equation (35K05) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Cites Work

• Unnamed Item
• Unnamed Item
• A dynamic viscoelastic analogy for fluid-filled elastic tubes
• Solutions of the space-time fractional Cattaneo diffusion equation
• Fractals and fractional calculus in continuum mechanics
• The fractional Dodson diffusion equation: a new approach
• Dispersion relations for the hyperbolic thermal conductivity, thermoelasticity and thermoviscoelasticity
• Time fractional cable equation and applications in neurophysiology
• A comment on some new definitions of fractional derivative
• On transient waves in linear viscoelasticity
• A class of linear viscoelastic models based on Bessel functions
• Continued-fraction expansion of transport coefficients with fractional calculus
• On infinite order differential operators in fractional viscoelasticity
• On the propagation of transient waves in a viscoelastic Bessel medium
• Some remarks on the fractional Cattaneo-Maxwell equation for the heat propagation
• A general theory of heat conduction with finite wave speeds
• Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection
• The generalized Cattaneo equation for the description of anomalous transport processes
• Nonlinear heat conduction equations with memory: Physical meaning and analytical results
• Heat waves
• The Thermodynamics of Irreversible Processes. I. The Simple Fluid

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