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On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum

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dc.contributor.author Selvam, A.G.M.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alzabut, J.
dc.contributor.author Vignesh, D.
dc.contributor.author Abbas, S.
dc.date.accessioned 2022-10-11T11:48:03Z
dc.date.available 2022-10-11T11:48:03Z
dc.date.issued 2020-12-01
dc.identifier.citation Selvam, A.G.M...et al. (2020). "On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/5835
dc.description.abstract A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this paper, we consider an initial value discrete fractional Duffing equation with forcing term. We establish the existence, Hyers–Ulam stability, and Hyers–Ulam Mittag-Leffler stability of solutions for the equation. We consider the inverted pendulum modeled by Duffing equation as an example. The values are tabulated and simulated to show the consistency with theoretical findings. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02920-6 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Duffing Equation tr_TR
dc.subject Hyers–Ulam Stability tr_TR
dc.subject Inverted Pendulum tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.title On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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