Fractal Fractional Derivative Models for Simulating Chemical Degradation in a Bioreactor
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A three-differential-equation mathematical model is presented for the degradation of phenol and p-cresol combination in a bioreactor that is continually agitated. The stability analysis of the model's equilibrium points, as established by the study, is covered. Additionally, we used three alternative kernels to analyze the model with the fractal-fractional derivatives, and we looked into the effects of the fractal size and fractional order. We have developed highly efficient numerical techniques for the concentration of biomass, phenol, and p-cresol. Lastly, numerical simulations are used to illustrate the accuracy of the suggested method.
Açıklama
Anahtar Kelimeler
bioreactor model, numerical methods, fractal-fractional derivatives, numerical simulations
Kaynak
Axioms
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
13
Sayı
3
