Chemostat Model Analysis Using Various Kernels with Fractional Derivatives

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dc.contributor.authorAkgul, A.
dc.contributor.authorUlgul, E.
dc.contributor.authorAlqahtani, R. T.
dc.date.accessioned2024-12-24T19:30:57Z
dc.date.available2024-12-24T19:30:57Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe investigation involves utilizing a set of three ordinary differential equations to mathematically model the degradation process of a mixture containing phenol and p-cresol within a continuously agitated bioreactor. The primary focus lies in the stability analysis of equilibrium points within this model. Additionally, the research delves into exploring the influence of fractal dimension and fractional order on the model, incorporating fractal-fractional derivatives and employing three distinct types of kernels. To quantify the concentrations of phenol, p-cresol, and biomass, highly effective computational algorithms have been formulated, enhancing the precision and efficiency of data analysis. In conclusion, the proposed methodology's soundness and accuracy are thoroughly scrutinized and affirmed through extensive computational simulations.
dc.identifier.doi10.30495/JME.2023.2775
dc.identifier.issn1735-8299
dc.identifier.issue9
dc.identifier.urihttps://doi.org/10.30495/JME.2023.2775
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7729
dc.identifier.volume17
dc.identifier.wosWOS:001168960300003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherIslamic Azad Univ, Shiraz Branch
dc.relation.ispartofJournal of Mathematical Extension
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectBioreactor Model
dc.subjectComputational Methods
dc.subjectFractal-Fractional Derivatives
dc.subjectComputational Simulations
dc.titleChemostat Model Analysis Using Various Kernels with Fractional Derivatives
dc.typeArticle

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