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

Akgül, AlíCordero Barbero, AliciaTorregrosa Sánchez, Juan Ramón2020-06-122020-06-122019-120893-9659https://riunet.upv.es/handle/10251/146178[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.Reserva de todos los derechosNonlinear equationsFractional derivativesNewton s methodConvergenceStabilityMATEMATICA APLICADAA fractional Newton method with 2 alpha th-order of convergence and its stabilityArtículo10.1016/j.aml.2019.06.028Cerrado