Numerical Solution of the Fractional Relaxation-Oscillation Equation by Using Reproducing Kernel Hilbert Space Method

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dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgül, Ali
dc.contributor.authorSeba, Djamila
dc.contributor.authorNour, Abdelkader
dc.date.accessioned2024-12-24T19:10:15Z
dc.date.available2024-12-24T19:10:15Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, the reproducing kernel Hilbert space is proposed and analyzed for the relaxation-oscillation equation of fractional order (FROE). The relaxation oscillation is a type of oscillator based on the way that the physical system’s returns to its equilibrium after being disturbed. We make use of the Caputo fractional derivative. The approximate solution can be obtained by taking n-terms of the analytical solution that is in term of series formula. The numerical experiments are used to prove the convergence of the approximate solution to the analytical solution. The results obtained by the given method demonstrate that it is convenient and efficient for FROE. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.doi10.1007/s40819-021-01087-2
dc.identifier.issn2349-5103
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85111407074
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-021-01087-2
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4024
dc.identifier.volume7
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectCaputo derivative
dc.subjectFractional relaxation-oscillation equation
dc.subjectHilbert space
dc.subjectInner product
dc.subjectNumerical approximation
dc.subjectReproducing kernel Hilbert space method
dc.titleNumerical Solution of the Fractional Relaxation-Oscillation Equation by Using Reproducing Kernel Hilbert Space Method
dc.typeArticle

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