On one approach to using of fractional analysis for hybrid modeling of information distribution processes

Abstract

The article discusses a technique for constructing a model and a method for finding solutions in the problem of imitating the process of information dissemination based on the use of a boundary value problem for a fractional differential equation in partial derivatives. It is proposed to use the analogy technique for modeling information dissemination processes, which is based on the use of the features of a fractional analysis and the diffuse nature of information penetration processes. A method for constructing hybrid models is proposed, which makes it possible to take into account changes in the interval of values of the spatial variable over time. Homogeneous and inhomogeneous models of diffusion processes are considered, which make it possible to numerically obtain and analyze experimental data for solving problems of monitoring the levels of information dissemination in social groups.