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Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative

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dc.contributor.author Odibat, Zaid
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-04-25T07:44:00Z
dc.date.available 2024-04-25T07:44:00Z
dc.date.issued 2022-06
dc.identifier.citation Odibat, Zaid; Baleanu, Dumitru. (2022). "Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative", Chinese Journal of Physics, Vol.77, pp.1003-1014. tr_TR
dc.identifier.issn 05779073
dc.identifier.uri http://hdl.handle.net/20.500.12416/8006
dc.description.abstract In this paper, novel systems of fractional differential equations involving a new generalized Caputo fractional derivative were proposed. The complex dynamic behavior of these systems was studied by numerical simulation. Nonlinear dynamics and chaos in hybrid fractional order systems were investigated using a predictor–corrector algorithm. In particular, the effect of the new generalized fractional derivative parameters on the dynamics of the proposed systems was discussed. The rich variation obtained from the characteristics of the studied systems recommends the implementation of the new generalized derivative in fractional calculus applications. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.cjph.2021.08.018 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Chaos tr_TR
dc.subject Generalized Derivative tr_TR
dc.subject Numerical Solution tr_TR
dc.subject Predictor–Corrector tr_TR
dc.title Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal Chinese Journal of Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 77 tr_TR
dc.identifier.startpage 1003 tr_TR
dc.identifier.endpage 1014 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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