Research Article
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Year 2025, Volume: 13 Issue: 2, 143 - 149, 29.12.2025
https://doi.org/10.51354/mjen.1791436
https://izlik.org/JA94DZ53FX

Abstract

References

  • [1] S. S. Zumdahl and S. A. Zumdahl, Chemistry: Media Enhanced Edition, Nelson Education, 2007.
  • [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] S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, 2018.
  • [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] 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] G. Scholz and F. Scholz, "First-order differential equations in chemistry," ChemTexts, vol. 1, no. 1, 2015.
  • [7] W. Zhang and Y. Jin (Eds.), Dynamic Covalent Chemistry: Principles, Reactions, and Applications, John Wiley & Sons, 2017.
  • [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] U.S. Environmental Protection Agency (EPA), Sequencing Batch Reactors for Nitrification and Nutrient Removal, EPA 832, pp. 1–5, 1992.
  • [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.
  • [12] M. Yavuz and N. Özdemir, "European vanilla option pricing model of fractional order without singular kernel," Fractals and Fractional, vol. 2, no. 1, pp. 3, 2018.
  • [13] D. Prakasha, P. Veeresha, and H. Baskonus, "Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative," Eur. Phys. J. Plus, vol. 134, no. 5, pp. 241, 2019.
  • [14] R. Ozarslan, A. Ercan, and E. Bas, "Novel fractional models compatible with real world problems," Fractals and Fractional, vol. 3, no. 2, pp. 15, 2019. [15] S. Ş. Ş. Kılıç, E. Celik, H. Bulut, “Solitary wave solutions to some nonlinear conformable partial differential equations,” Optical and Quantum Electronics, 55(8), 693, 2025.
  • [16] O. Tasbozan, E. Celik, A. Kurt, and L. Akinyemi, "Investigation on the new exact solutions of generalized Rosenau–Kawahara–RLW equation with p-th order nonlinearity occurring in ocean engineering models," Appl. Math. J. Chin. Univ., vol. 39, no. 4, pp. 642–653, 2024.
  • [17] H. Bulut, U. Demirbilek, and E. Çelik, "Dynamical soliton solutions of (2+1)-dimensional paraxial wave and (4+1)-dimensional Fokas wave equations with truncated M-fractional derivative using an efficient technique," J. Math., vol. 2025, no. 1, Art. no. 6659392, 2025.
  • [18] R. Almeida, "What is the best fractional derivative to fit data?," Applicable Analysis and Discrete Mathematics, vol. 11, no. 2, pp. 358–368, 2017.
  • [19] T. Abdeljawad, "On conformable fractional calculus," J. Comput. Appl. Math., vol. 279, pp. 57–66, 2015.
  • [20] U. N. Katugampola, "New approach to a generalized fractional integral," Appl. Math. Comput., vol. 218, no. 3, pp. 860–865, 2011. [21] S. Qureshi and S. Aziz, "Fractional modeling for a chemical kinetic reaction in a batch reactor via nonlocal operator with power law kernel," Physica A: Statistical Mechanics and its Applications, vol. 542, pp. 123494, 2020.
  • [22] R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, "A new definition of fractional derivative," J. Comput. Appl. Math., vol. 264, pp. 65–70, 2014.

Conformable Model in Chemical Kinetic and Its Analysis

Year 2025, Volume: 13 Issue: 2, 143 - 149, 29.12.2025
https://doi.org/10.51354/mjen.1791436
https://izlik.org/JA94DZ53FX

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.

References

  • [1] S. S. Zumdahl and S. A. Zumdahl, Chemistry: Media Enhanced Edition, Nelson Education, 2007.
  • [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] S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, 2018.
  • [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] 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] G. Scholz and F. Scholz, "First-order differential equations in chemistry," ChemTexts, vol. 1, no. 1, 2015.
  • [7] W. Zhang and Y. Jin (Eds.), Dynamic Covalent Chemistry: Principles, Reactions, and Applications, John Wiley & Sons, 2017.
  • [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] U.S. Environmental Protection Agency (EPA), Sequencing Batch Reactors for Nitrification and Nutrient Removal, EPA 832, pp. 1–5, 1992.
  • [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.
  • [12] M. Yavuz and N. Özdemir, "European vanilla option pricing model of fractional order without singular kernel," Fractals and Fractional, vol. 2, no. 1, pp. 3, 2018.
  • [13] D. Prakasha, P. Veeresha, and H. Baskonus, "Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative," Eur. Phys. J. Plus, vol. 134, no. 5, pp. 241, 2019.
  • [14] R. Ozarslan, A. Ercan, and E. Bas, "Novel fractional models compatible with real world problems," Fractals and Fractional, vol. 3, no. 2, pp. 15, 2019. [15] S. Ş. Ş. Kılıç, E. Celik, H. Bulut, “Solitary wave solutions to some nonlinear conformable partial differential equations,” Optical and Quantum Electronics, 55(8), 693, 2025.
  • [16] O. Tasbozan, E. Celik, A. Kurt, and L. Akinyemi, "Investigation on the new exact solutions of generalized Rosenau–Kawahara–RLW equation with p-th order nonlinearity occurring in ocean engineering models," Appl. Math. J. Chin. Univ., vol. 39, no. 4, pp. 642–653, 2024.
  • [17] H. Bulut, U. Demirbilek, and E. Çelik, "Dynamical soliton solutions of (2+1)-dimensional paraxial wave and (4+1)-dimensional Fokas wave equations with truncated M-fractional derivative using an efficient technique," J. Math., vol. 2025, no. 1, Art. no. 6659392, 2025.
  • [18] R. Almeida, "What is the best fractional derivative to fit data?," Applicable Analysis and Discrete Mathematics, vol. 11, no. 2, pp. 358–368, 2017.
  • [19] T. Abdeljawad, "On conformable fractional calculus," J. Comput. Appl. Math., vol. 279, pp. 57–66, 2015.
  • [20] U. N. Katugampola, "New approach to a generalized fractional integral," Appl. Math. Comput., vol. 218, no. 3, pp. 860–865, 2011. [21] S. Qureshi and S. Aziz, "Fractional modeling for a chemical kinetic reaction in a batch reactor via nonlocal operator with power law kernel," Physica A: Statistical Mechanics and its Applications, vol. 542, pp. 123494, 2020.
  • [22] R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, "A new definition of fractional derivative," J. Comput. Appl. Math., vol. 264, pp. 65–70, 2014.
There are 19 citations in total.

Details

Primary Language English
Subjects Dynamical Systems in Applications
Journal Section Research Article
Authors

Funda Türk 0000-0003-1626-5217

Submission Date September 26, 2025
Acceptance Date November 25, 2025
Publication Date December 29, 2025
DOI https://doi.org/10.51354/mjen.1791436
IZ https://izlik.org/JA94DZ53FX
Published in Issue Year 2025 Volume: 13 Issue: 2

Cite

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.Türk F. Conformable Model in Chemical Kinetic and Its Analysis. MJEN [Internet]. 2025 Dec. 1;13(2):143-9. Available from: https://izlik.org/JA94DZ53FX

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