  For systems close to equilibrium, the relaxation properties of measurable
physical quantities are described by the linear response theory and the
fluctuation-dissipation theorem (FDT). Accordingly, the response or the
generalized susceptibility, which is a function of the unperturbed equilibrium
system, can be related to the correlation between spontaneous fluctuations of a
given conjugate variable. There have been several attempts to extend the FDT
far from equilibrium, introducing new terms or using effective temperatures.
Recently, Prost, Joanny, and Parrondo [Phys. Rev. Lett. 103, 090601 (2009)]
have shown that the FDT can be restored far from equilibrium by choosing the
appropriate variables conjugate to the external perturbations. Here, we apply
the generalized FDT to a system perturbed by time-dependent deterministic
forces and acting under the influence of white alpha-stable noises.
