Existence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorCao Labora, Daniel
dc.contributor.authorTenreiro Machado, José António
dc.date.accessioned2020-04-29T15:05:46Z
dc.date.available2020-04-29T15:05:46Z
dc.date.issued2020
dc.description.abstractThis manuscript reanalyses the Bagley–Torvik equation (BTE). The Riemann–Liouville fractional differential equation (FDE), formulated by R. L. Bagley and P. J. Torvik in 1984, models the vertical motion of a thin plate immersed in a Newtonian fluid, which is held by a spring. From this model, we can derive an FDE for the particular case of lacking the spring. Here, we find conditions for the source term ensuring that the solutions to the equation of the motion are bounded, which has a clear physical meaning.gl
dc.description.peerreviewedSIgl
dc.identifier.citationCao Labora, D.; Tenreiro Machado, J.A. Existence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equation. Mathematics 2020, 8, 289.gl
dc.identifier.doi10.3390/math8020289
dc.identifier.essn2227-7390
dc.identifier.urihttp://hdl.handle.net/10347/21885
dc.language.isoenggl
dc.publisherMDPIgl
dc.relation.publisherversionhttps://doi.org/10.3390/math8020289gl
dc.rights© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFractional Calculusgl
dc.subjectBagley–Torvik Equationgl
dc.subjectLimit Behaviorgl
dc.subjectBounded Solutionsgl
dc.titleExistence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equationgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication57f2d82e-4b30-4dd8-b535-3f51d838aec3
relation.isAuthorOfPublication.latestForDiscovery57f2d82e-4b30-4dd8-b535-3f51d838aec3

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