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Multipoint fraccional iterative methods with (2a+1)th-order of convergence for solving nonlinear problems

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Multipoint fraccional iterative methods with (2a+1)th-order of convergence for solving nonlinear problems

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dc.contributor.author Candelario, Giro es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2021-02-24T04:31:37Z
dc.date.available 2021-02-24T04:31:37Z
dc.date.issued 2020-03 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162239
dc.description.abstract [EN] In the recent literature, some fractional one-point Newton-type methods have been proposed in order to find roots of nonlinear equations using fractional derivatives. In this paper, we introduce a new fractional Newton-type method with order of convergence ¿ + 1 and compare it with the existing fractional Newton method with order 2¿. Moreover, we also introduce a multipoint fractional Traub-type method with order 2¿ + 1 and compare its performance with that of its first step. Some numerical tests and analysis of the dependence on the initial estimations are made for each case, including a comparison with classical Newton (¿ = 1 of the first step of the class) and classical Traub¿s scheme (¿ = 1 of fractional proposed multipoint method). In this comparison, some cases are found where classical Newton and Traub¿s methods do not converge and the proposed methods do, among other advantages. es_ES
dc.description.sponsorship This research was supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE) and FONDOCYT 029-2018 Republica Dominicana. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Nonlinear equations es_ES
dc.subject Fractional derivatives es_ES
dc.subject Multistep methods es_ES
dc.subject Convergence es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Multipoint fraccional iterative methods with (2a+1)th-order of convergence for solving nonlinear problems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8030452 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDOCYT//029-2018/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Candelario, G.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2020). Multipoint fraccional iterative methods with (2a+1)th-order of convergence for solving nonlinear problems. Mathematics. 8(3):1-15. https://doi.org/10.3390/math8030452 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8030452 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 3 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\423817 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Ciencia, Innovación y Universidades es_ES
dc.contributor.funder Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana es_ES
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