Fractal Fractional Derivative Models for Simulating Chemical Degradation in a Bioreactor

dc.authoridConejero, J. Alberto/0000-0003-3681-7533
dc.contributor.authorAkgul, Ali
dc.contributor.authorConejero, J. Alberto
dc.date.accessioned2024-12-24T19:33:33Z
dc.date.available2024-12-24T19:33:33Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractA 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.
dc.description.sponsorshipGeneralitat Valenciana
dc.description.sponsorshipNo Statement Available
dc.identifier.doi10.3390/axioms13030151
dc.identifier.issn2075-1680
dc.identifier.issue3
dc.identifier.urihttps://doi.org/10.3390/axioms13030151
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8191
dc.identifier.volume13
dc.identifier.wosWOS:001191526500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofAxioms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectbioreactor model
dc.subjectnumerical methods
dc.subjectfractal-fractional derivatives
dc.subjectnumerical simulations
dc.titleFractal Fractional Derivative Models for Simulating Chemical Degradation in a Bioreactor
dc.typeArticle

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