Fractional mathematical modelling of degradation of dye in textile effluents

Abstract

Many textile industries produce waste water containing direct dyes, which often causes serious environmental problems. It has revealed from several studies that the absorption process in dye degradation follows a unique fractional property. As a result, the focus of this research is on fractional mathematical modeling of color textile effluents degradation utilizing the Caputo Fabrizio fractional derivative without singular kernel. To derive an analytical solution for such absorption transport equation and plot the concentration of solution against time for different fractional orders with specified initial conditions, the iterative Laplace transform approach is used.