A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

Dumitru Baleanu, Amin Jajarmi, Hakimeh Mohammadi and Shahram Rezapour

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard–Lindelöf approach and the fixed-point theory. In addition, the mathematical model is implemented by the homotopy analysis transform method whose convergence is also investigated. Eventually, numerical experiments are carried out to better illustrate the results. Comparative results with the real clinical data indicate the superiority of the new fractional model over the pre-existent integer-order model with ordinary time-derivatives.

Keywords: Fractional derivative; Exponential kernel; Human liver; Fixed-point theory; Iterative method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (82)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301077

DOI: 10.1016/j.chaos.2020.109705

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