This paper presents a new advancement in the dynamical system for kinetically controlled chemical reactions, focusing on the stability and computational results using fractional-order mathematical techniques. The authors derive the existence and uniqueness theorem of the proposed model through a fixed-point approach and demonstrate its stability through the Hyers-Ulam stability condition. Numerical simulations are conducted to verify the conclusions, and illustrative examples are provided to support the findings. The study emphasizes the importance of chemical kinetics in various fields, including industrial processes, environmental science, and biochemistry, and highlights the role of fractional calculus in capturing detailed dynamics in complex systems.This paper presents a new advancement in the dynamical system for kinetically controlled chemical reactions, focusing on the stability and computational results using fractional-order mathematical techniques. The authors derive the existence and uniqueness theorem of the proposed model through a fixed-point approach and demonstrate its stability through the Hyers-Ulam stability condition. Numerical simulations are conducted to verify the conclusions, and illustrative examples are provided to support the findings. The study emphasizes the importance of chemical kinetics in various fields, including industrial processes, environmental science, and biochemistry, and highlights the role of fractional calculus in capturing detailed dynamics in complex systems.