  The relaxation functions introduced empirically by Debye, Cole-Cole,
Cole-Davidson and Havriliak-Negami are, each of them, solutions to their
respective kinetic equations. In this work, we propose a generalization of such
equations by introducing a fractional differential operator written in terms of
the Riemann-Liouville fractional derivative of order $\gamma$, $0 < \gamma \leq
1$. In order to solve the generalized equations, the Laplace transform
methodology is introduced and the corresponding solutions are then presented,
in terms of Mittag-Leffler functions. In the case in which the derivative's
order is $\gamma=1$, the traditional relaxation functions are recovered.
Finally, we presente some 2D graphs of these function.
