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

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...

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Autores principales:	Tverdyi Dmitryi, Parovik Roman, Makarov Evgeniy, Firstov Pavel, Alimova Nazira
Formato:	article
Lenguaje:	EN
Publicado:	EDP Sciences 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e9
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spelling	oai:doaj.org-article:6fa2f1382e6448c2966c2263400d70e92021-11-12T11:44:52ZApplication of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber2100-014X10.1051/epjconf/202125403001https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e92021-01-01T00:00:00Zhttps://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_03001.pdfhttps://doaj.org/toc/2100-014XThe 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.Tverdyi DmitryiParovik RomanMakarov EvgeniyFirstov PavelAlimova NaziraEDP SciencesarticlePhysicsQC1-999ENEPJ Web of Conferences, Vol 254, p 03001 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
description	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.
format	article
author	Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira
author_facet	Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira
author_sort	Tverdyi Dmitryi
title	Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
title_short	Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
title_full	Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
title_fullStr	Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
title_full_unstemmed	Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
title_sort	application of the riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e9
work_keys_str_mv	AT tverdyidmitryi applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT parovikroman applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT makarovevgeniy applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT firstovpavel applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT alimovanazira applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber
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Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

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