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Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

Dmitryi TverdyiVitus Bering Kamchatka State University, 683032 Petropavlovsk-Kamchatskiy, RussiaRoman ParovikVitus Bering Kamchatka State University, 683032 Petropavlovsk-Kamchatskiy, RussiaEvgeniy MakarovVitus Bering Kamchatka State University, 683032 Petropavlovsk-Kamchatskiy, RussiaП. П. ФирстовNational University of Uzbekistan named after Mirzo Ulugbek, 100174 Tashkent, UzbekistanNazira AlimovaNational University of Uzbekistan named after Mirzo Ulugbek, 100174 Tashkent, Uzbekistan

EPJ Web of Conferencesjournal2021en

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Annotatsiya

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.

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Fractional Differential Equations Solutions Earthquake Detection and Analysis

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DOI: 10.1051/epjconf/202125403001

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