AUTHORS: Ivano Colombaro, Andrea Giusti, Francesco Mainardi

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ABSTRACT: In this paper we discuss some properties of linear fractional dispersive waves. In particular, we compare the dispersion relations emerging from the D’Alembert equation and from the linearized Korteweg – deVries equation with the corresponding time-fractionalized versions. For this purpose, we evaluate the expressions for the phase velocity and for the group velocity, highlighting the differences not only analytically, but also by means of illuminating plots

KEYWORDS: dispersion, waves, phase velocity, group velocity

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