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

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  • Sharma, Neetu
  • Mittal, Ekta
  • Agarwal, Surendra Kumar

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.

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  • Sharma, Neetu & Mittal, Ekta & Agarwal, Surendra Kumar, 2026. "Fractional modeling of human liver dynamics using Hilfer fractional derivatives: A numerical and clinical validation study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PA), pages 754-762.
    • Handle: RePEc:eee:matcom:v:241:y:2026:i:pa:p:754-762
    DOI: 10.1016/j.matcom.2025.09.017
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