Generalized diffusion equation with fractional derivatives within Renyi   statistics
  By using the Zubarev nonequilibrium statistical operator method, and the Liouville equation with fractional derivatives, a generalized diffusion equation with fractional derivatives is obtained within the Renyi statistics. Averaging in generalized diffusion coefficient is performed with a power distribution with the Renyi parameter $q$. 
P. Kostrobij, B. Markovych, O. Viznovych, M. Tokarchuk
cond-mat.stat-mech