A kinetic model with analysis for the oxidation of sugars by permanganate in simple aqueous media with sustainable fractional approach

The development of a recycling method for manganese dioxide, a byproduct of reactions, has made permanganate, a persistent oxidant in organic chemistry, more environmentally benign. This makes permanganate developments in technology more cost-effective and less hazardous to the environment. Understanding the rate and mechanisms of chemical reactions is important in a variety of fields, including chemistry and biology. Sugars, as organic substrates, are sensitive to oxidation by the potent oxidant permanganate. We utilized the commonly used oxidants in permanganate oxidation, D-glucose, D-fructose, and D-sucrose. This study investigates the importance of efficient oxidation processes by creating extended fractal fractional models for computer analysis. It looks at possible ways permanganate can be oxidized by analyzing these equations both qualitatively and quantitatively with the Mittag-Leffler kernel, which is not commonly studied. Using advanced fixed-point theory results, the kinetic system's solutions are analyzed and found to be unique. A Lyapunov function is offered for the proposed kinetic system, which necessitates consideration of the oxidation process kinetics as well as a thorough stability analysis of chemical parameters. In addition, we stabilize the kinetic system utilizing the proposed linear feedback regulate technique for chaos control and system sensitivity analysis. We use the Spectral Quasi Equilibrium Manifold (SQEM) approach, an advanced modeling simplification tool, to study the complex behavior of multi-step reaction processes. A strong numerical technique based on the Newton polynomial is used in computational simulations to examine the influence of the fractal-fractional operator on surface and contour graphs. Graphs with differing fractal and fractional orders have a substantial effect on the correlations of kinetic system compartments at different parameter values. The findings aim to increase perception and process representation in order to better grasp the entire study of chemical reactions for kinetic systems and organic results.