# Investigation of mathematical model of human liver by Caputo fractional derivative approach

Document Type : Original Paper

Authors

1 Department of Mathematics, Mehran Branch, Islamic Azad University, Ilam, Iran

2 Department of Mathematics, Tabriz Branch, Islamic Azad University,Tabriz, Iran

3 Department of Mathematics, Miandoab Branch, Islamic Azad University, Miandoab, Iran

4 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz,, Iran

Abstract

The study of the function of vital organs of the body by mathematical models is one of the most important and interesting topics for researchers. In this work, we intend to study the mathematical model of human liver function using the fractional order derivative with Caputo approach. The Adomian Analytical Analysis (ADM) method will be used to solve the system of fractional-order differential equations obtained in the new model of the liver. We also provide a numerical simulation for the results obtained from the fractional order system and the integer order system using the available clinical data.

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Main Subjects

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