Inverse problem for the time-fractional euler-bernoulli beam equation

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dc.authorscopusid56559723300en_US
dc.contributor.authorTekin, İbrahim
dc.contributor.authorYang, He
dc.date.accessioned2022-04-21T05:40:11Z
dc.date.available2022-04-21T05:40:11Z
dc.date.issued2021en_US
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation. The problem of determining the time-dependent coefficient for the fractional Euler-Bernoulli beam equation with homogeneous boundary conditions and an additional measurement is considered, and the existence and uniqueness theorem of the solution is proved by means of the contraction principle on a sufficiently small time interval. Numerical experiments are also provided to verify the theoretical findings.en_US
dc.identifier.doi10.3846/mma.2021.13289en_US
dc.identifier.endpage518en_US
dc.identifier.issn13926292
dc.identifier.issue3en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage503en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12885/1907
dc.identifier.volume26en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorTekin, İbrahim
dc.language.isoenen_US
dc.publisherVGTUen_US
dc.relation.ispartofMathematical Modelling and Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEuler-Bernoulli beamen_US
dc.subjectExistence and uniquenessen_US
dc.subjectInverse coefficient problemen_US
dc.titleInverse problem for the time-fractional euler-bernoulli beam equationen_US
dc.typeArticleen_US

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