Viznovych O. Mathematical modeling of diffusion processes within Renyi statistics

The actual scientific task is solved - the development and research of new mathematical models of "anomalous" diffusion processes in spatially inhomogeneous condensed systems, for which there is a significant spatial and temporal fractality. For the first time, generalized equations of electrodifusion for charge carriers have been derived, generalized equations of Kettano-type electrodifusion and q-diffusion equations based on the mathematical apparatus of the fractal number and NSO Zuberev method, as well as a mathematical model of kinetic processes in a system of interacting particles in non-equilibrium states have been developed.