3 years ago

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

Andrea Giusti

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.

Publisher URL: http://arxiv.org/abs/1708.08341

DOI: arXiv:1708.08341v2

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