On Numerical Analysis of Bio-Ethanol Production Model with the Effect of Recycling and Death Rates under Fractal Fractional Operators with Three Different Kernels

The main metabolism of yeasts produces bioethanol. Bioethanol, which is produced from biomass and bioenergy crops, has been promoted as one the most viable alternatives to fossil fuels. following reaction represents all knowledge we have regarding intracellular reactions their regulatory mechanisms: biomass+substrates→ethanol+biomass(morecells). Atangana suggested new operators based on a combination fractional fractal calculus. Fractal-fractional (FFOs) frequently utilized investigate dynamics physical problem. In this paper, FFOs are used nonlinear mathematical model for ethanol production with three different kernels. Famous fixed point results employed show existence uniqueness solution FFO under Mittag–Leffler kernel. concept non-linear analysis demonstrate model’s Ulam–Hyres stability. Adams—Bashforth numerical technique, Lagrangian interpolation method, find fractal-fractional simulated MATLAB-17 several sets orders dimensions relationship between components in various senses.