New Type Modelling of the Circumscribed Self-Excited Spherical Attractor

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlqahtani, Rubayyi T.
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe fractal-fractional derivative with the Mittag-Leffler kernel is employed to design the fractional-order model of the new circumscribed self-excited spherical attractor, which is not investigated yet by fractional operators. Moreover, the theorems of Schauder's fixed point and Banach fixed existence theory are used to guarantee that there are solutions to the model. Approximate solutions to the problem are presented by an effective method. To prove the efficiency of the given technique, different values of fractal and fractional orders as well as initial conditions are selected. Figures of the approximate solutions are provided for each case in different dimensions.
dc.description.sponsorshipDeanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University [RG-21-09-11]
dc.description.sponsorshipFundingThis research received no external funding.
dc.identifier.doi10.3390/math10050732
dc.identifier.issn2227-7390
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85127990409
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math10050732
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8232
dc.identifier.volume10
dc.identifier.wosWOS:000769153200001
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.subjectMittag-Leffler kernel
dc.subjectnumerical method
dc.subjectcircumscribed self-excited spherical attractor
dc.titleNew Type Modelling of the Circumscribed Self-Excited Spherical Attractor
dc.typeArticle

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