Nabil Barhoumi

1 Introduction Fractional-order models provide a natural description of systems with memory, anomalous transport, hereditary effects, and nonlocal constitutive behavior. Their use has expanded from mathematical analysis to identification and control of engineering processes, including chemical and thermal systems with diffusion, adsorption, transport delay, and nonlinear reaction dynamics [1-4].

1 Introduction The field of chemical reaction engineering encompasses two fundamental aspects: Comprehending the microscopic details of chemical reactions, including their kinetics, and designing and controlling the macro-scale equipment of chemical reactors where these reactions occur. Mathematical modeling plays a crucial role in representing physio-chemical reactive systems through equations, thereby enabling further investigation and understanding of practical problems.