Reproducing kernel method for fractional derivative with non-local and non-singular kernel

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dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:10Z
dc.date.available2024-12-24T19:10:10Z
dc.date.issued2019
dc.departmentSiirt Üniversitesi
dc.description.abstractAtangana and Baleanu introduced a derivative with fractional order to answer some outstanding questions that were posed by many investigators within the field of fractional calculus. Their derivative has a non-singular and nonlocal kernel. Therefore, we apply the reproducing kernel method to fractional differential equations with non-local and non-singular kernel. In this work, a new method has been developed for the newly established fractional differentiation. Examples are given to illustrate the numerical effectiveness of the reproducing kernel method when properly applied in the reproducing kernel space. The comparison of approximate and exact solutions leaves no doubt believing that the reproducing kernel method is very efficient and converges toward exact solution very rapidly. © Springer Nature Switzerland AG 2019.
dc.identifier.doi10.1007/978-3-030-11662-0_1
dc.identifier.endpage12
dc.identifier.issn2198-4182
dc.identifier.scopus2-s2.0-85062437617
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://doi.org10.1007/978-3-030-11662-0_1
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3981
dc.identifier.volume194
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing
dc.relation.ispartofStudies in Systems, Decision and Control
dc.relation.publicationcategoryKitap Bölümü - Uluslararası
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAtangana–Baleanu fractional derivative
dc.subjectFractional calculus
dc.subjectReproducing kernel method
dc.titleReproducing kernel method for fractional derivative with non-local and non-singular kernel
dc.typeBook Chapter

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