Journal
Turkish Journal of Science
Volume & Issue
Volume 10, Issue 1
Published on
April 21, 2025
Pages
50-58
DOI
Article
A Fractional-Order Mathematical Model of the Human Liver Using the Caputo Derivative and Mathematical Analysis
Authors
Zafer OZTURK
Abstract
In this study, fractional order mathematical modelling of the human liver using the Caputo fraction derivative is considered. This model was divided into two compartments, Bromsulphthalein (BDP) content in blood (Z) and Bromsulphthalein (BDP) content in liver (W). The Caputo derivative was used as the fractional derivative. A stability analysis was performed on the fractional-order mathematical model of the human liver. The system’s existence, uniqueness and non-negativity were analysed mathematically. Numerical solutions were obtained using the Generalized Euler method and interpreted graphically.