Mathematical Analysis of Oxygen Uptake Rate in Continuous Process under Caputo Derivative

In this paper, the wastewater treatment model is investigated by means of one most robust fractional derivatives, namely, Caputo derivative. The growth rate assumed to obey Contois model, which often used biomass in wastewaters. characteristics under consideration are derived and evaluated, such as equilibrium, stability analysis, steady-state solutions. Further, important allow us understand dynamics detail. To end, we discuss several analyses variant consideration. observe efficiency non-local differential operator over its counter-classical version, perform numerical simulations.