Analysis of fractal fractional Lorenz type and financial chaotic systems with exponential decay kernels

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorUl Haq, Ihtisham
dc.contributor.authorAhmad, Shabir
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:59Z
dc.date.available2024-12-24T19:33:59Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this work, we formulate a fractal fractional chaotic system with cubic and quadratic nonlinearities. A fractal fractional chaotic Lorenz type and financial systems are studied using the Caputo Fabrizo (CF) fractal fractional derivative. This study focuses on the characterization of the chaotic nature, and the effects of the fractal fractional-order derivative in the CF sense on the evolution and behavior of each proposed systems. The stability of the equilibrium points for the both systems are investigated using the Routh-Hurwitz criterion. The numerical scheme, which includes the discretization of the CF fractal-fractional derivative, is used to depict the phase portraits of the fractal fractional chaotic Lorenz system and the fractal fractional-order financial system. The simulation results presented in both cases include the two- and three-dimensional phase portraits to evaluate the applications of the proposed operators.
dc.identifier.doi10.3934/math.20221035
dc.identifier.endpage18823
dc.identifier.issn2473-6988
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85137852321
dc.identifier.scopusqualityQ1
dc.identifier.startpage18809
dc.identifier.urihttps://doi.org/10.3934/math.20221035
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8373
dc.identifier.volume7
dc.identifier.wosWOS:000848290400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractal fractional calculus
dc.subjectchaotic Lorenz system
dc.subjectfinancial system
dc.subjectRouth-Hurwitz stability criterion
dc.titleAnalysis of fractal fractional Lorenz type and financial chaotic systems with exponential decay kernels
dc.typeArticle

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