A Fractional Epidemiological Model for Bone Remodeling Process

This article focuses on modeling bone formation process using a fractional differential approach, named bones remodeling process. The first goal of the work is to investigate existence and uniqueness of the proposed fractional differential model. The next goal is to investigate how similar is the pr...

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Autores principales:	Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abuasbeh
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8e3b1719b6ab46af9ac26aed6b3f238a
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spelling	oai:doaj.org-article:8e3b1719b6ab46af9ac26aed6b3f238a2021-11-22T01:10:43ZA Fractional Epidemiological Model for Bone Remodeling Process2314-478510.1155/2021/1614774https://doaj.org/article/8e3b1719b6ab46af9ac26aed6b3f238a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1614774https://doaj.org/toc/2314-4785This article focuses on modeling bone formation process using a fractional differential approach, named bones remodeling process. The first goal of the work is to investigate existence and uniqueness of the proposed fractional differential model. The next goal is to investigate how similar is the proposed approach to the method based on system classical differential equations. The dynamical system of equations used is built upon three main parameters. These are chemical substances, namely, calcitonin secretion, osteoclastic and osteoblastic, which are involved in the bone’s formation process. We implement some numerical simulations to graphically show the impact of an arbitrary fractional order of derivative. We finally obtained that modeling bone formation process using fractional differential equations yielded comparable results with those obtained through a system of classical differential equations. Flexibility in the choice of the fractional order of derivative is an advantage as it helps in selecting the best fractional order of derivative.Muath AwadallaYves Yannick Yameni NoupoueKinda AbuasbehHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Muath Awadalla Yves Yannick Yameni Noupoue Kinda Abuasbeh A Fractional Epidemiological Model for Bone Remodeling Process
description	This article focuses on modeling bone formation process using a fractional differential approach, named bones remodeling process. The first goal of the work is to investigate existence and uniqueness of the proposed fractional differential model. The next goal is to investigate how similar is the proposed approach to the method based on system classical differential equations. The dynamical system of equations used is built upon three main parameters. These are chemical substances, namely, calcitonin secretion, osteoclastic and osteoblastic, which are involved in the bone’s formation process. We implement some numerical simulations to graphically show the impact of an arbitrary fractional order of derivative. We finally obtained that modeling bone formation process using fractional differential equations yielded comparable results with those obtained through a system of classical differential equations. Flexibility in the choice of the fractional order of derivative is an advantage as it helps in selecting the best fractional order of derivative.
format	article
author	Muath Awadalla Yves Yannick Yameni Noupoue Kinda Abuasbeh
author_facet	Muath Awadalla Yves Yannick Yameni Noupoue Kinda Abuasbeh
author_sort	Muath Awadalla
title	A Fractional Epidemiological Model for Bone Remodeling Process
title_short	A Fractional Epidemiological Model for Bone Remodeling Process
title_full	A Fractional Epidemiological Model for Bone Remodeling Process
title_fullStr	A Fractional Epidemiological Model for Bone Remodeling Process
title_full_unstemmed	A Fractional Epidemiological Model for Bone Remodeling Process
title_sort	fractional epidemiological model for bone remodeling process
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/8e3b1719b6ab46af9ac26aed6b3f238a
work_keys_str_mv	AT muathawadalla afractionalepidemiologicalmodelforboneremodelingprocess AT yvesyannickyameninoupoue afractionalepidemiologicalmodelforboneremodelingprocess AT kindaabuasbeh afractionalepidemiologicalmodelforboneremodelingprocess AT muathawadalla fractionalepidemiologicalmodelforboneremodelingprocess AT yvesyannickyameninoupoue fractionalepidemiologicalmodelforboneremodelingprocess AT kindaabuasbeh fractionalepidemiologicalmodelforboneremodelingprocess
_version_	1718418353929846784

A Fractional Epidemiological Model for Bone Remodeling Process

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