Research Article

Conformable Model in Chemical Kinetic and Its Analysis

Volume: 13 Number: 2 December 29, 2025
EN

Conformable Model in Chemical Kinetic and Its Analysis

Abstract

This study investigates consecutive reactions in chemical kinetics. Consecutive reactions are irreversible, meaning that the products formed do not return to the original reactants, and this makes their modeling more complex compared to other reaction types. Examples of such reactions include polymerization, radioactive decay, hydrocarbon chlorination, the reaction of unabsorbed ethanol in the human body, and thermal cracking. For these consecutive reactions, a conformable kinetic model is considered and analytically solved by means of the conformable Laplace transform. The effects of different conformable orders α on the reaction dynamics are examined in detail. The obtained solutions are presented graphically and interpreted in terms of the temporal evolution of each species. The results indicate that the conformable model provides an effective and flexible representation of the behavior of consecutive reactions.

Keywords

Consecutive reaction, conformable derivative, chemical kinetic

References

  1. [1] S. S. Zumdahl and S. A. Zumdahl, Chemistry: Media Enhanced Edition, Nelson Education, 2007.
  2. [2] J. B. Reece, L. A. Urry, M. L. Cain, S. A. Wasserman, P. V. Minorsky, and R. B. Jackson, "Chemical reactions make and break chemical bonds," in Campbell Biology, pp. 40–41, Pearson, San Francisco, CA, 2011.
  3. [3] S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, 2018.
  4. [4] I. N. Unar, S. A. Soomro, G. Maitlo, S. Aziz, R. B. Mahar, and Z. A. Bhatti, "Numerical study of coal composition effects on the performance of gasification through computational fluid dynamic," Int. J. Chem. React. Eng., vol. 2019.
  5. [5] S. Aziz, F. Jalal, M. Nawaz, B. Niaz, F. Ali Shah, M. H. R. Memon, and M. I. Rajoka, "Hyperproduction and thermal characterization of a novel invertase from a double mutant derivative of Kluyveromyces marxianus," Food Technol. Biotechnol., vol. 49, no. 4, pp. 465–473, 2011.
  6. [6] G. Scholz and F. Scholz, "First-order differential equations in chemistry," ChemTexts, vol. 1, no. 1, 2015.
  7. [7] W. Zhang and Y. Jin (Eds.), Dynamic Covalent Chemistry: Principles, Reactions, and Applications, John Wiley & Sons, 2017.
  8. [8] D. Ball, "Kinetics of consecutive reactions: first reaction, first-order; second reaction, zeroth order," Journal of Chemical Education, vol. 75, no. 7, pp. 917, 1998.
  9. [9] U.S. Environmental Protection Agency (EPA), Sequencing Batch Reactors for Nitrification and Nutrient Removal, EPA 832, pp. 1–5, 1992.
  10. [10] J. I. Steinfeld, J. S. Francisco, and W. L. Hase, Chemical Kinetics and Dynamics, vol. 3, Prentice Hall, Englewood Cliffs, NJ, 1989. [11] E. Bas and R. Ozarslan, "Real world applications of fractional models by Atangana-Baleanu fractional derivative," Chaos Solitons Fractals, vol. 116, pp. 121–125, 2018.
APA
Türk, F. (2025). Conformable Model in Chemical Kinetic and Its Analysis. MANAS Journal of Engineering, 13(2), 143-149. https://doi.org/10.51354/mjen.1791436
AMA
1.Türk F. Conformable Model in Chemical Kinetic and Its Analysis. MJEN. 2025;13(2):143-149. doi:10.51354/mjen.1791436
Chicago
Türk, Funda. 2025. “Conformable Model in Chemical Kinetic and Its Analysis”. MANAS Journal of Engineering 13 (2): 143-49. https://doi.org/10.51354/mjen.1791436.
EndNote
Türk F (December 1, 2025) Conformable Model in Chemical Kinetic and Its Analysis. MANAS Journal of Engineering 13 2 143–149.
IEEE
[1]F. Türk, “Conformable Model in Chemical Kinetic and Its Analysis”, MJEN, vol. 13, no. 2, pp. 143–149, Dec. 2025, doi: 10.51354/mjen.1791436.
ISNAD
Türk, Funda. “Conformable Model in Chemical Kinetic and Its Analysis”. MANAS Journal of Engineering 13/2 (December 1, 2025): 143-149. https://doi.org/10.51354/mjen.1791436.
JAMA
1.Türk F. Conformable Model in Chemical Kinetic and Its Analysis. MJEN. 2025;13:143–149.
MLA
Türk, Funda. “Conformable Model in Chemical Kinetic and Its Analysis”. MANAS Journal of Engineering, vol. 13, no. 2, Dec. 2025, pp. 143-9, doi:10.51354/mjen.1791436.
Vancouver
1.Funda Türk. Conformable Model in Chemical Kinetic and Its Analysis. MJEN. 2025 Dec. 1;13(2):143-9. doi:10.51354/mjen.1791436