Do strange kinetics imply unusual thermodynamics?

We introduce a fractional Fokker-Planck equation (FFPE) for L\'evy flights in the presence of an external field. The equation is derived within the framework of the subordination of random processes which leads to L\'evy flights. It is shown that the coexistence of anomalous transport and a potential displays a regular exponential relaxation toward the Boltzmann equilibrium distribution. The properties of the L\'evy-flight FFPE derived here are compared with earlier findings for a subdiffusive FFPE. The latter is characterized by a nonexponential Mittag-Leffler relaxation to the Boltzmann distribution. In both cases, which describe strange kinetics, the Boltzmann equilibrium is reached, and modifications of the Boltzmann thermodynamics are not required.