Speaker
Description
In this study, we focus on the mathematical modeling of chemical kinetics, particularly on irreversible consecutive reactions, where the reaction products do not revert to their original reactants. Compared to other reaction mechanisms, modeling consecutive reactions poses greater analytical challenges due to their multistep and time-dependent nature. These types of reactions are frequently encountered in various real-life processes such as polymerization, radioactive decay, ethanol metabolism in the human body, hydrocarbon chlorination, and thermal cracking.
The primary aim of this research is to formulate and analytically solve the system of differential equations governing such reactions by employing the M-fractional derivative, a relatively recent generalization in the field of fractional calculus. The solutions are obtained via the M-fractional Laplace transform method, which enables the treatment of various fractional orders 𝛼 and reaction rate constants in a unified framework. The effects of different fractional orders and kinetic parameters are examined in detail through both analytical expressions and graphical illustrations. The results highlight the efficiency and applicability of the M-fractional modeling approach in capturing the dynamics of irreversible consecutive reactions in chemical kinetics.
| Keywords | M fractional, Consecutive reaction, Kinetic model problem. |
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