Stability and control of the complex chaotic financial system with fractional derivatives

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dc.contributor.authorFarman, M.
dc.contributor.authorAhmad, A.
dc.contributor.authorAkgul, A.
dc.contributor.authorSaleem, M.U.
dc.contributor.authorNaeem, M.
dc.date.accessioned2024-12-24T19:10:09Z
dc.date.available2024-12-24T19:10:09Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractWe represent a nonlinear time-fractional model of the complex chaotic financial system to understand the occurrences of the interest rate, investment demand and price index in this research. The fractional parameter is used to develop the system of complex nonlinear differential equations by using Caputo with fractional derivative. The stabilization of equilibrium is obtained by both theoretical analysis and the simulation result. A certain threshold value of the basic reproduction number with sensitivity analysis has been made. Stability analysis of the model is confirmed by the Lyapunov equation and detail the stability analysis of this strategy together with the uniqueness of the special solutions. The idea of observability and controllability for linearized control is utilized for feedback control. By utilizing the Laplace Adomian Decomposition technique, the solution of the time-fractional model has been obtained. At last, numerical simulations are given for three fractionalorder chaotic systems to check the effectiveness as indicated by the fractional parameter. © 2020. CSP - Cambridge, UK; I&S - Florida, USA. All Rights Reserved.
dc.identifier.endpage776
dc.identifier.issn2041-3165
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85098702623
dc.identifier.scopusqualityQ3
dc.identifier.startpage765
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3962
dc.identifier.volume11
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherCambridge Scientific Publishers
dc.relation.ispartofMathematics in Engineering, Science and Aerospace
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectChaotic system
dc.subjectControllability Observability
dc.subjectFractional Derivatives
dc.subjectStability Analysis
dc.titleStability and control of the complex chaotic financial system with fractional derivatives
dc.typeArticle

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