Fractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics

Authors

  • Rania Wannan
  • Muhammad Aslam
  • Muhammad Farman
  • Ali Akgül
  • Farhina Kouser
  • Jihad Asad Dep of Physics- Faculty of Applied Sciences- Palestine Technical University https://orcid.org/0000-0002-6862-1634

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4406

Keywords:

Chemistry kinetics, fractional technique, stability, uniqueness, Sumudu transform

Abstract

In this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the Caputo Fabrizio and Atangana-Baleanu derivatives in Caputo sense. We apply the Sumudu transform to obtain the solutions of the models. Uniqueness and stability analysis of
the problem are also established by using the fixed point theory results. Numerical results are obtained by using the proposed schemes which supports theoretical results. These concepts are very important for using the real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating and biomass transfer problem. These results are crucial for solving the nonlinear model in chemistry kinetics.

Downloads

How to Cite

Wannan, R., Aslam, M. ., Farman, M. ., Akgül, A. ., Kouser, F. ., & Asad, J. (2022). Fractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics. European Journal of Pure and Applied Mathematics, 15(3), 1144–1157. https://doi.org/10.29020/nybg.ejpam.v15i3.4406