Chemostat Model Analysis with Different Kernels and Fractional Derivatives

Abstract

Three ordinary differential equations are used to represent mathematically the breakdown of a phenol and pcresolcombination in a constantly agitated bioreactor.The research offers a stability analysis of the model’sequilibrium locations. Three different kernels have also been used to examine the effects of the fractaldimension and the fractional order on the model with the fractal-fractional derivatives. We have developedextremely effective computational techniques for phenol, p-cresol, and biomass concentrations. Finally,computer simulations are used to confirm the correctness of the suggested strategy.