Fractional Dynamics of Individuals in Complex Networks

摘要: The dependence of the behavior a single individual on global dynamics social network to which it belongs is an open problem in sociology. We demonstrate that for dynamical belonging Ising universality class this can be approached analytically through subordination procedure. analysis leads linear fractional differential equation motion average trajectory individual, whose analytic solution probability changing states Mittag-Leffler function. Consequently, provides description without linearization complex dynamics.