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arXiv · 1708.08341

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

Andrea Giusti
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Abstract

In this paper, after a brief review of the general theory of dispersive waves in dissipative media, we present a complete discussion of the dispersion relations for both the ordinary and the time-fractional Cattaneo-Maxwell heat equations. Consequently, we provide a complete characterization of the group and phase velocities for these two cases, together with some non-trivial remarks on the nature of wave dispersion in fractional models.

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Andrea Giusti. 2017-08-24. Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation. https://doi.org/10.1063/1.5001555

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