Numerical analysis of fractional human liver model in fuzzy environment

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-12-24T19:28:26Z
dc.date.available2024-12-24T19:28:26Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractMany 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 phi(0) is an element of[0, 1] to see the effect of uncertainty on the secretion of Bromsulphthalein in the blood and liver.
dc.description.sponsorshipPrince Sultan University
dc.description.sponsorshipThe author T. Abdeljawad would like to thank Prince Sultan University for the support through the TAS research lab.
dc.identifier.doi10.1080/16583655.2021.2006894
dc.identifier.endpage851
dc.identifier.issn1658-3655
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85127564221
dc.identifier.scopusqualityQ1
dc.identifier.startpage840
dc.identifier.urihttps://doi.org/10.1080/16583655.2021.2006894
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7042
dc.identifier.volume15
dc.identifier.wosWOS:000722417000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofJournal of Taibah University For Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHuman liver model
dc.subjectfuzzy fractional derivative
dc.subjectuncertainty
dc.subjectfuzzy Laplace transform
dc.subjectH-differentiability
dc.titleNumerical analysis of fractional human liver model in fuzzy environment
dc.typeArticle

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