Fractional contact model in the continuum
  We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior of time-dependent correlation functions, essentially different from the one known for the standard contact model. 
Anatoly N. Kochubei and Yuri G. Kondratiev
math-ph math.MP