Fractional modeling of human liver dynamics using Hilfer fractional derivatives: A numerical and clinical validation study

Neetu Sharma, Ekta Mittal and Surendra Kumar Agarwal

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 241, issue PA, 754-762

Abstract: In this study, the Hilfer fractional derivative is incorporated into a fractional model describing the dynamics of the human liver. Using the Laplace homotopy analysis transform method, the suggested model is solved, and its convergence is carefully investigated. To give a more lucid depiction of the results, numerical simulations are also carried out. A comparison with actual clinical BSP test data shows that the proposed fractional model works better than the traditional integer-order model that is based on standard temporal derivatives.

Keywords: Mathematical model of the liver; Laplace transform; Hilfer fractional derivative; Laplace homotopy analysis method (search for similar items in EconPapers)
Date: 2026
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037847542500388X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:241:y:2026:i:pa:p:754-762

DOI: 10.1016/j.matcom.2025.09.017

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().