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A fractional Newton method with 2 alpha th-order of convergence and its stability

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A fractional Newton method with 2 alpha th-order of convergence and its stability

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dc.contributor.author Akgül, Alí es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2020-06-12T03:33:53Z
dc.date.available 2020-06-12T03:33:53Z
dc.date.issued 2019-12 es_ES
dc.identifier.issn 0893-9659 es_ES
dc.identifier.uri http://hdl.handle.net/10251/146178
dc.description.abstract [EN] The use of fractional calculus in many branches of Science and Engineering is wide in the last years. There are different kinds of derivatives that can be useful in different problems. In this manuscript, we put the focus in the effect of this kind of fractional derivatives in the search of roots of nonlinear equations and its dependence on the initial estimations. (C) 2019 Elsevier Ltd. All rights reserved. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Ciencia, Innovacion y Universidades, Spain PGC2018-095896-B-C22 and by Generalitat Valenciana, Spain PROMETEO/2016/089. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation GENERALITAT VALENCIANA/PROMETEO/2016/089 es_ES
dc.relation AEI/PGC2018-095896-B-C22-AR es_ES
dc.relation.ispartof Applied Mathematics Letters es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Fractional derivatives es_ES
dc.subject Newton s method es_ES
dc.subject Convergence es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A fractional Newton method with 2 alpha th-order of convergence and its stability es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.aml.2019.06.028 es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Akgül, A.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2019). A fractional Newton method with 2 alpha th-order of convergence and its stability. Applied Mathematics Letters. 98:344-351. https://doi.org/10.1016/j.aml.2019.06.028 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.aml.2019.06.028 es_ES
dc.description.upvformatpinicio 344 es_ES
dc.description.upvformatpfin 351 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 98 es_ES
dc.relation.pasarela S\393521 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES


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