Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique

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dc.contributor.authorAttia, Nourhane
dc.contributor.authorSeba, Djamila
dc.contributor.authorAkgul, Ali
dc.contributor.authorNour, Abdelkader
dc.date.accessioned2024-12-24T19:30:38Z
dc.date.available2024-12-24T19:30:38Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short) method. The numerical results show that the n-term approximation is a rapidly convergent series representation and they present also the high accuracy and effectiveness of this method. The efficiency of the proposed method has been proved by the theoretical predictions and confirmed by the numerical experiments.
dc.identifier.doi10.22055/JACM.2021.35369.2642
dc.identifier.endpage1487
dc.identifier.issn2383-4536
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85110699410
dc.identifier.scopusqualityQ1
dc.identifier.startpage1480
dc.identifier.urihttps://doi.org/10.22055/JACM.2021.35369.2642
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7615
dc.identifier.volume7
dc.identifier.wosWOS:000672366900018
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherShahid Chamran Univ Ahvaz, Iran
dc.relation.ispartofJournal of Applied and Computational Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectDuffing-Van der Pol oscillator equations of fractional order
dc.subjectMethod of reproducing kernel Hilbert space
dc.subjectCaputo derivative
dc.subjectConvergence
dc.subjectNumerical Solutions
dc.titleSolving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique
dc.typeArticle

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