On solutions of fractional order time varying linear dynamical systems model

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dc.contributor.authorModanli, Mahmut
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:20Z
dc.date.available2024-12-24T19:10:20Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution. The obtained approximation solution is effective which is close to the exact solution. The results showed that the method is effective and useful. This method produce better approximations than the ones produced with the standard weighted residual methods. Additionally, some useful reproducing kernel functions have been obtained. Solutions of the models can be obtained by the reproducing kernel method with these reproducing kernel functions. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.
dc.identifier.doi10.1080/25765299.2021.1958490
dc.identifier.endpage308
dc.identifier.issn2576-5299
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85111600269
dc.identifier.scopusqualityQ1
dc.identifier.startpage300
dc.identifier.urihttps://doi.org10.1080/25765299.2021.1958490
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4053
dc.identifier.volume28
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofArab Journal of Basic and Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectApproximate solutions
dc.subjectbounded linear operator
dc.subjectnumerical method
dc.subjectreproducing kernel functions
dc.titleOn solutions of fractional order time varying linear dynamical systems model
dc.typeArticle

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