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Fractionary iterative methods for solving nonlinear problems

dc.contributor.authorCandelario, Giro
dc.contributor.authorCordero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.contributor.authorVassileva, María P.
dc.date.accessioned2021-06-15T11:15:23Z
dc.date.available2021-06-15T11:15:23Z
dc.date.issued2021
dc.identifier.citationCandelario, G., Cordero, A., Torregrosa, J. R. y Vassileva, M. P. (2021) Fractionary iterative methods for solving nonlinear problems. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 105-108). Oviedo : Universidad de Oviedo, Servicio de Publicaciones
dc.identifier.isbn978-84-18482-21-2
dc.identifier.urihttp://hdl.handle.net/10651/59065
dc.description.abstractIn recent years, some point-to-point fractional Newton-type methods have been proposed to find roots of nonlinear equations using fractional derivatives. We present several Newton-type methods based on Caputo fractional derivative. For each case, the order of convergence of the proposed methods is stated, and some numerical tests are carried out in order to observe their performance, in practice. Convergence to different roots depending on the order of the derivative is observed and also differences among the methods in terms of the percentage of converging starting points.spa
dc.format.extentp. 105-108spa
dc.language.isoengspa
dc.publisherServicio de Publicaciones de la Universidad de Oviedospa
dc.relation.ispartofProceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicadaspa
dc.rights© Los autores
dc.rights© 2021 Universidad de Oviedo
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 3.0 España
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.titleFractionary iterative methods for solving nonlinear problemsspa
dc.typebook partspa
dc.rights.accessRightsopen access
dc.type.hasVersionVoR


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