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

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–Lindelof 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.

• Publication year

  2020

• Venue

  Chaos Solitons & Fractals

• Publication date

  2020-05-01

• Fields of study

  Mathematics, Medicine

• Identifiers
  DOI 10.1016/j.chaos.2020.109705
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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