A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative
By Dumitru Băleanu, Amin Jajarmi, H. Mohammadi, Sh. Rezapour. 2020
687 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/03b91215ccf68bf9b96a5aef38dfe65d196a98e6
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In Applied Mathematics
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- On a coupled Caputo conformable system of pantograph problems (2021, background): “Some flexible properties of the Caputo–Fabrizio integroderivative operators led to publish research papers on the different fractional modelings in this subject (see for instance, [7, 9, 21, 23, 25, 47]).”
- Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, methodology): “(12) Because lim t→a (Ψ (t) − Ψ (a))ξ−2 = ∞, in the view of boundary condition (9), we must have C2 = 0.”