Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808811406210323Investigation of mathematical model of human liver by Caputo fractional derivative approachInvestigation of mathematical model of human liver by Caputo fractional derivative approach7507601730010.22055/jamm.2022.37102.1918FAMehdiShabibiDepartment of Mathematics, Mehran Branch, Islamic Azad University, Ilam, IranZohrehZeinalabedini CharandabiDepartment of Mathematics, Tabriz Branch, Islamic Azad University,Tabriz, IranHakimehMohammadiDepartment of Mathematics, Miandoab Branch, Islamic Azad University, Miandoab, IranShahramRezapourDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz,, IranJournal Article19700101The 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.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.https://jamm.scu.ac.ir/article_17300_266f1ada2cf871aaa53bd1ff2472e2ee.pdf