https://doi.org/10.1051/epjconf/202125403001
Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
1
Vitus Bering Kamchatka State University, 683032 Petropavlovsk-Kamchatskiy, Russia
2
Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, 684034 Paratunka, Kamchatka, Russia
3
Kamchatka Branch of the Federal State Budgetary Institution of Science of the Federal Research Center “Unified Geophysical Service of the Russian Academy of Sciences”, 683006 PetropavlovskKamchatskiy, Russia
4
National University of Uzbekistan named after Mirzo Ulugbek, 100174 Tashkent, Uzbekistan
* Corresponding author: dimsolid95@gmail.com
Published online: 8 November 2021
The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates. The model equation is the fractional Riccati equation with a derivative of a fractional variable order of the Gerasimov-Caputo type, taking into account heredity, as well as taking into account nonlinearity, which is responsible for the mechanisms of radon entry into the chamber. The obtained model curves of the accumulation process are compared with real data. It is shown that the model described in the work gives a better agreement between the model and real curves of radon accumulation and can be used for a more accurate description of the processes occurring in the chamber.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
