Dynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorAhmad, Shabir
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThe nonlinear fractional-order model of bioethanol production under a generalized nonlocal operator in the Caputo sense is investigated in this work. Theoretical and computational aspects of the considered model are discussed. We prove that the model has at least one solution and a unique solution using the Leray-Schauder and Banach contraction theorems. Using functional analysis, we investigate several types of Ulam-Hyres model stability. We use the predictor-corrector (P-C) method to construct a broad numerical scheme for the model's solution. The proposed numerical method's stability is demonstrated. Finally, we depict the numerical findings geometrically to demonstrate the model's dynamics.
dc.description.sponsorshipDeanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University [RG-21-09-11]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University for funding this work through Research Group no. RG-21-09-11.
dc.identifier.doi10.3390/math9192370
dc.identifier.issn2227-7390
dc.identifier.issue19
dc.identifier.scopus2-s2.0-85116046982
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math9192370
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8243
dc.identifier.volume9
dc.identifier.wosWOS:000726251500001
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.subjectethanol model
dc.subjectUlam-Hyres-Rassias stable
dc.subjectgeneralized Caputo derivative
dc.titleDynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense
dc.typeArticle

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