title: Modelling the formation of liver zones within the scope of fractional order derivative.
abstract: We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-dependent solution is approximated using two recent iteration methods. In particular, we discuss the convergence of these methods by constructing a suitable Hilbert space.
authors.affiliation: Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9301, South Africa.
authors.forename: Abdon
authors.initials: A
authors.lastname: Atangana
authors.affiliation: MaSIM Focus Area, North-West University, Mafikeng 2735, South Africa.
authors.forename: Suares Clovis
authors.initials: SC
authors.lastname: Oukouomi Noutchie
mesh_terms: D000465:Algorithms; D000818:Animals; D006801:Humans; D008099:Liver / Q000033:anatomy & histology*; D008953:Models, Anatomic