A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative

被引：666

作者：

Baleanu, Dumitru ^{[1
,2
]}

Jajarmi, Amin ^{[3
]}

Mohammadi, Hakimeh ^{[4
]}

Rezapour, Shahram ^{[5
,6
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

[2] Inst Space Sci, MG 23, R-76900 Magurele, Romania

[3] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord 945311339, Iran

[4] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran

[5] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 134卷

关键词：

Fractional derivative; Exponential kernel; Human liver; Fixed-point theory; Iterative method; EQUATION;

D O I：

10.1016/j.chaos.2020.109705

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research, we aim to propose a new fractional model for human liver involving Caputo-Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard-Lindelof approach and the fixed-point theory. In addition, the mathematical model is implemented by the homotopy analysis transform method whose convergence is also investigated. Eventually, numerical experiments are carried out to better illustrate the results. Comparative results with the real clinical data indicate the superiority of the new fractional model over the pre-existent integer-order model with ordinary time-derivatives. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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