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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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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

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/146178

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Title: A fractional Newton method with 2 alpha th-order of convergence and its stability
Author: Akgül, Alí Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
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 ...[+]
Subjects: Nonlinear equations , Fractional derivatives , Newton s method , Convergence , Stability
Copyrigths: Cerrado
Source:
Applied Mathematics Letters. (issn: 0893-9659 )
DOI: 10.1016/j.aml.2019.06.028
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.aml.2019.06.028
Project ID:
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
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/
Thanks:
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.
Type: Artículo

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