Chemostat Model Analysis with Different Kernels and Fractional Derivatives

Authors

  • Ali Akgul
  • Enver Ülgül siirt university
  • Rubayyi T. Alqahtani Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh

DOI:

https://doi.org/10.30495/jme.v17i0.2775

Keywords:

Bioreactor Model, Computational Methods, Fractal-Fractional Derivatives, Computational Simulations.

Abstract

Three ordinary differential equations are used to represent mathematically the breakdown of a phenol and pcresolcombination in a constantly agitated bioreactor.The research offers a stability analysis of the model’sequilibrium locations. Three different kernels have also been used to examine the effects of the fractaldimension and the fractional order on the model with the fractal-fractional derivatives. We have developedextremely effective computational techniques for phenol, p-cresol, and biomass concentrations. Finally,computer simulations are used to confirm the correctness of the suggested strategy.

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Published

2023-10-07

Issue

Vol. 17

Section

Vol. 17, No. 9, (2023)

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