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

Authors

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2021.4.10

Keywords:

information, dissemination, modeling, diffusion hybrid models, fractional analysis

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.

Author Biographies

Eugene Ivokhin, Taras Shevchenko National University of Kyiv, Kyiv

Eugene V. Ivokhin,

Doctor of Physical and Mathematical Sciences, a professor at the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Larisa Adzhubey, Taras Shevchenko National University of Kyiv, Kyiv

Larisa T. Adzhubey,

Candidate of Physical and Mathematical Sciences (Ph.D.), an associate professor at the Department of Computational Mathematics of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Yuriy Naumenko, Taras Shevchenko National University of Kyiv, Kyiv

Yuriy O. Naumenko,

Candidate of Technical Sciences (Ph.D.), a research fellow at the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Mykhailo Makhno, Taras Shevchenko National University of Kyiv, Kyiv

Mykhailo F. Makhno,

Candidate of Technical Sciences, an assistant at the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

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Published

2021-12-22

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Section

Mathematical methods, models, problems and technologies for complex systems research