$Numerical analysis of fractional human liver model in fuzzy environment$
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Numerical analysis of fractional human liver model in fuzzy environment

Many papers have shown that fractional derivatives are preferable to other operators when the data or information is exact, but this is not the case in practice because we live in an uncertain environment. Fuzzy operators are the best option for modelling in this situation. In this paper, we use the...

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Autores principales:	Shabir Ahmad, Aman Ullah, Ali Akgül, Thabet Abdeljawad
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	human liver model fuzzy fractional derivative uncertainty fuzzy laplace transform h-differentiability Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/d215b863dc944019b253850355485d19
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id	oai:doaj.org-article:d215b863dc944019b253850355485d19
record_format	dspace
spelling	oai:doaj.org-article:d215b863dc944019b253850355485d192021-11-26T11:19:47ZNumerical analysis of fractional human liver model in fuzzy environment1658-365510.1080/16583655.2021.2006894https://doaj.org/article/d215b863dc944019b253850355485d192021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16583655.2021.2006894https://doaj.org/toc/1658-3655Many papers have shown that fractional derivatives are preferable to other operators when the data or information is exact, but this is not the case in practice because we live in an uncertain environment. Fuzzy operators are the best option for modelling in this situation. In this paper, we use the fuzzy fractional Caputo's derivative to generalize the fractional-order human liver model. We consider both types of H-differentiability (type 1 and type 2). We establish a general procedure of solution under the concept of H-differentiability through fuzzy Laplace transform. We implement the proposed scheme to derive the numerical results of the model. We present the archived theoretical solution via two- and three-dimensional graphs at different values of fractional orders and specific fuzzy triangular initial conditions. We present the evolution of the proposed model for some values of $ \varphi _0\in [0,1] $ to see the effect of uncertainty on the secretion of Bromsulphthalein in the blood and liver.Shabir AhmadAman UllahAli AkgülThabet AbdeljawadTaylor & Francis Grouparticlehuman liver modelfuzzy fractional derivativeuncertaintyfuzzy laplace transformh-differentiabilityScience (General)Q1-390ENJournal of Taibah University for Science, Vol 15, Iss 1, Pp 840-851 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	human liver model fuzzy fractional derivative uncertainty fuzzy laplace transform h-differentiability Science (General) Q1-390
spellingShingle	human liver model fuzzy fractional derivative uncertainty fuzzy laplace transform h-differentiability Science (General) Q1-390 Shabir Ahmad Aman Ullah Ali Akgül Thabet Abdeljawad Numerical analysis of fractional human liver model in fuzzy environment
description	Many papers have shown that fractional derivatives are preferable to other operators when the data or information is exact, but this is not the case in practice because we live in an uncertain environment. Fuzzy operators are the best option for modelling in this situation. In this paper, we use the fuzzy fractional Caputo's derivative to generalize the fractional-order human liver model. We consider both types of H-differentiability (type 1 and type 2). We establish a general procedure of solution under the concept of H-differentiability through fuzzy Laplace transform. We implement the proposed scheme to derive the numerical results of the model. We present the archived theoretical solution via two- and three-dimensional graphs at different values of fractional orders and specific fuzzy triangular initial conditions. We present the evolution of the proposed model for some values of $ \varphi _0\in [0,1] $ to see the effect of uncertainty on the secretion of Bromsulphthalein in the blood and liver.
format	article
author	Shabir Ahmad Aman Ullah Ali Akgül Thabet Abdeljawad
author_facet	Shabir Ahmad Aman Ullah Ali Akgül Thabet Abdeljawad
author_sort	Shabir Ahmad
title	Numerical analysis of fractional human liver model in fuzzy environment
title_short	Numerical analysis of fractional human liver model in fuzzy environment
title_full	Numerical analysis of fractional human liver model in fuzzy environment
title_fullStr	Numerical analysis of fractional human liver model in fuzzy environment
title_full_unstemmed	Numerical analysis of fractional human liver model in fuzzy environment
title_sort	numerical analysis of fractional human liver model in fuzzy environment
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/d215b863dc944019b253850355485d19
work_keys_str_mv	AT shabirahmad numericalanalysisoffractionalhumanlivermodelinfuzzyenvironment AT amanullah numericalanalysisoffractionalhumanlivermodelinfuzzyenvironment AT aliakgul numericalanalysisoffractionalhumanlivermodelinfuzzyenvironment AT thabetabdeljawad numericalanalysisoffractionalhumanlivermodelinfuzzyenvironment
_version_	1718409562133889024

Numerical analysis of fractional human liver model in fuzzy environment

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