Mathematical Analysis of Biodegradation Model under Nonlocal Operator in Caputo Sense

To lower the concentration of organic pollutants in effluent stream, wastewater must be treated before being discharged into environment. The question whether treatment facilities can successfully reduce micropollutants found their influent streams is becoming increasingly pressing. removal plants investigated using a model that incorporates biodegradation and sorption as key processes micropollutant removal. This article provides mathematical analysis describes under non-local operator Caputo sense. positivity solution presented for fractional model. steady state’s stability presented. fixed point theorems Leray–Schauder Banach are used to deduce results regarding existence Ulam–Hyers (UH) types stabilities via functional analysis. Euler method find numerical proposed illustrated graphs show effects recycle ratio impact order on evolution