Numerical analysis of fractional human liver model in fuzzy environment
[ X ]
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 phi(0) is an element of[0, 1] to see the effect of uncertainty on the secretion of Bromsulphthalein in the blood and liver.
Açıklama
Anahtar Kelimeler
Human liver model, fuzzy fractional derivative, uncertainty, fuzzy Laplace transform, H-differentiability
Kaynak
Journal of Taibah University For Science
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
15
Sayı
1
