ANALYSIS OF HIDDEN ATTRACTORS OF NON-EQUILIBRIUM FRACTAL-FRACTIONAL CHAOTIC SYSTEM WITH ONE SIGNUM FUNCTION

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dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorZhang, Lei
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.contributor.authorAkgul, Esra Karatas
dc.date.accessioned2024-12-24T19:29:42Z
dc.date.available2024-12-24T19:29:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 2017, Atangana proposed more generalized operators depending on two parameters: one is fractional order (FO) and other is fractal dimension. The novel operators are defined with three different kernels. These operators produced excellent dynamics of the chaotic systems. In this paper, the Caputo fractal-fractional operator is used to explore a chaotic system which contains only one signum function. The existence theory is developed by using the fixed-point result of Leray-Schauder to prove that the considered chaotic system possesses at least one solution. The proposed chaotic system has a unique solution, according to Banach's fixed-point theorem. We demonstrate that the suggested chaotic system is Ulam-Hyres (UH) stable under the novel operator of power law kernel by employing nonlinear functional analysis. The Adams-Bashforth technique is used to evaluate the numerical outcomes of the considered model. We show the complex structure of numerical solutions for different FO and fractal dimension values.
dc.description.sponsorshipSpecial project of higher education in Guangdong Province, China [2020gxjk385, 2021gxjk183]
dc.description.sponsorshipThe Special project of higher education in Guangdong Province, China under Nos. 2020gxjk385 and 2021gxjk183.
dc.identifier.doi10.1142/S0218348X22401399
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85132026973
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X22401399
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7210
dc.identifier.volume30
dc.identifier.wosWOS:000846027200015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSignum Function
dc.subjectChaotic System
dc.subjectAdams-Bashforth Method
dc.titleANALYSIS OF HIDDEN ATTRACTORS OF NON-EQUILIBRIUM FRACTAL-FRACTIONAL CHAOTIC SYSTEM WITH ONE SIGNUM FUNCTION
dc.typeArticle

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