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

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dc.authoridTorregrosa, Juan R./0000-0002-9893-0761
dc.authoridCordero, Alicia/0000-0002-7462-9173
dc.contributor.authorAkgul, Ali
dc.contributor.authorCordero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2019
dc.departmentSiirt Üniversitesi
dc.description.abstractThe 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.
dc.description.sponsorshipMinisterio de Ciencia, Innovacion y Universidades, Spain [PGC2018-095896-B-C22]; Generalitat Valenciana, Spain [PROMETEO/2016/089]
dc.description.sponsorshipThis research was partially supported by Ministerio de Ciencia, Innovacion y Universidades, Spain PGC2018-095896-B-C22 and by Generalitat Valenciana, Spain PROMETEO/2016/089.
dc.identifier.doi10.1016/j.aml.2019.06.028
dc.identifier.endpage351
dc.identifier.issn0893-9659
dc.identifier.scopus2-s2.0-85068379247
dc.identifier.scopusqualityQ1
dc.identifier.startpage344
dc.identifier.urihttps://doi.org/10.1016/j.aml.2019.06.028
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6350
dc.identifier.volume98
dc.identifier.wosWOS:000483423900049
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofApplied Mathematics Letters
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNonlinear equations
dc.subjectFractional derivatives
dc.subjectNewton's method
dc.subjectConvergence
dc.subjectStability
dc.titleA fractional Newton method with 2?th-order of convergence and its stability
dc.typeArticle

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