Fuzzy approximation of a fractional Lorenz system and a fractional financial crisis

Basit Öğe Kaydı
dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authoridCatak, Muammer/0000-0003-0752-2525
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorAderyani, S. Rezaei
dc.contributor.authorSaadati, R.
dc.contributor.authorAllahviranloo, T.
dc.contributor.authorAbbasbandy, S.
dc.contributor.authorCatak, M.
dc.date.accessioned2024-05-19T14:41:39Z
dc.date.available2024-05-19T14:41:39Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThe butterfly effect, the possibility that a small change in initial conditions may have momentous effects, is a concept that was presented by an American mathematician and meteorologist Edward Lorenz. Nearly forty five years ago, he posed a question: does the flap of a butterfly's wings in Brazil set off a tornado in Texas trying to express why it is so difficult to earn a suitable weather forecast. In an experiment, he replaced the initial condition 0.506 with 0.506127. The effect was amazing. Lorenz was the first person who recognizes chaotic theory in the mathematical model of weather. His researches leads to a new field of study not only in mathematics but also in biology, physics, meteorology and so on. In fact, the Lorenz system is a model-driven Rayleigh-Be & PRIME;nard convection. For more details, we refer to [1, 4, 11]. In this paper, we consider the fractional version of the Lorenz system in the sense of the Caputo-Fabrizio derivative, and apply a fuzzy control function with the Mihet-Radu method, to investigate the fuzzy Ulam-Wright stability with the uniqueness of the solution. Also, we investigate the fuzzy Ulam-Wright stability of a financial crisis model presented by Korobeinikov [5], in the sense of h-Hilfer derivative.en_US
dc.identifier.doi10.22111/IJFS.2023.7628
dc.identifier.endpage36en_US
dc.identifier.issn1735-0654
dc.identifier.issn2676-4334
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85172671330en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage27en_US
dc.identifier.urihttps://doi.org10.22111/IJFS.2023.7628
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5140
dc.identifier.volume20en_US
dc.identifier.wosWOS:001048560900002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Sistan & Baluchestanen_US
dc.relation.ispartofIranian Journal of Fuzzy Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectFractional Lorenz Systemen_US
dc.subjectStabilityen_US
dc.subjectCaputo-Fabrizio Derivativeen_US
dc.subjectFractional Financial Crisisen_US
dc.subjectFuzzy Setsen_US
dc.titleFuzzy approximation of a fractional Lorenz system and a fractional financial crisisen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu