Fractional study of a novel hyper-chaotic model involving single non-linearity

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dc.authoridVeeresha, Dr. P./0000-0002-4468-3048
dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorVeeresha, P.
dc.contributor.authorAkguel, Ali
dc.contributor.authorInc, Mustafa
dc.contributor.authorRiaz, Muhamamad Bilal
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe applications of hyperchaotic systems (HCSs) can be widely seen in diverse fields associated with engineering due to their complicated dynamics, randomness, and high delicacy and sensibility. In the present work, we aim to investigate a new hyper-chaotic system involving a single non-linearity under the fractional Caputo-Fabrizio (CF) derivative for the first time. In fact, there is no previous study using fractional derivatives in this system. A new mathematical system using a fractional-order operator will be designed with the novel operator. The Caputo-Fabrizio non-integer operator is aimed to be employed to capture complex nature. In order to solve the extracted dynamical system, a quadratic numerical scheme is applied. This study contains stability and convergence sections for the considered method. Moreover, numerical results of the problem under various values of fractional orders and different values of initial conditions (ICs) are provided to show the performance of the suggested scheme. Figures of solutions for each dependent variable can be observed.
dc.identifier.doi10.1016/j.rinp.2022.105965
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85138053598
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105965
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6732
dc.identifier.volume42
dc.identifier.wosWOS:000862535000002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNumerical method
dc.subjectHyperchaos
dc.subjectMathematical modeling
dc.subjectNumerical simulation
dc.titleFractional study of a novel hyper-chaotic model involving single non-linearity
dc.typeArticle

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