Fractional contact model in the continuum
Mathematical Physics
2014-12-02 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1412.0205,
title = {Fractional contact model in the continuum},
author = {Anatoly N. Kochubei and Yuri G. Kondratiev},
journal= {arXiv preprint arXiv:1412.0205},
year = {2014}
}
Comments
To appear in "Methods of Functional Analysis and Topology"