On Numerical Analysis of Bio-Ethanol Production Model with the Effect of Recycling and Death Rates under Fractal Fractional Operators with Three Different Kernels

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorAhmad, Shabir
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe main metabolism of yeasts produces bioethanol. Bioethanol, which is produced from biomass and bioenergy crops, has been promoted as one of the most viable alternatives to fossil fuels. The following reaction represents all of the knowledge we have regarding intracellular reactions and their regulatory mechanisms: biomass + substrates -> ethanol + biomass (more cells). Atangana has suggested new operators based on a combination of fractional and fractal calculus. Fractal-fractional operators (FFOs) have frequently been utilized to investigate the dynamics of a physical problem. In this paper, FFOs are used to investigate a nonlinear mathematical model for ethanol production with three different kernels. Famous fixed point results are employed to show the existence and uniqueness of the solution of the FFO ethanol model under the Mittag-Leffler kernel. The concept of non-linear analysis is utilized to demonstrate the model's Ulam-Hyres stability. The Adams- Bashforth numerical technique, which is based on the Lagrangian interpolation method, is utilized to find the solution of the model under fractal-fractional operators with three different kernels. The numerical results are simulated with MATLAB-17 for several sets of fractional orders and fractal dimensions to show the relationship between components of ethanol production under new operators in various senses.
dc.description.sponsorshipDeanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University
dc.description.sponsorshipThe APC was funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University.
dc.identifier.doi10.3390/math10071102
dc.identifier.issn2227-7390
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85128020898
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math10071102
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8233
dc.identifier.volume10
dc.identifier.wosWOS:000781547700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfixed point theory
dc.subjectfractal-fractional differential equation
dc.subjectnumerical scheme
dc.titleOn Numerical Analysis of Bio-Ethanol Production Model with the Effect of Recycling and Death Rates under Fractal Fractional Operators with Three Different Kernels
dc.typeArticle

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