On fractional modelling of dye removal using fractional derivative with non-singular kernel

Several studies showed that the adsorption process for the dye removal has its unique fractional property. In line with this, we focused on the fractional model to study the transport of direct textile industry wastewater. We used the recently introduced fractional derivative without singular kernel, the Caputo-Fabrizio fractional derivative to obtain the analytic solution for the adsorption transport equation and plot the concentration that corresponds to the dye with a given initial conditions. (C) 2018 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.