Generalized conformable fractional Newton-type method for solving nonlinear systems Giro Candelario Alicia Cordero Juan R. Torregrosa María P. Vassileva conformable fractional derivative Newton-type methods nonlinear systems of equations quadratic convergence convergence analysis stability 2023 info:eu-repo/semantics/article journal-article https://doi.org/10.1007/s11075-022-01463-z Numerical Algorithms Numerical Algorithms urn:issn:1017-1398 urn:issn:1572-9265 Numerical Algorithms, 2023 info:eu-repo/semantics/openAccess openAccess cc-by https://link.springer.com/content/pdf/10.1007/s11075-022-01463-z.pdf Q2 Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal Iterative processes with fractional derivatives Giro Candelario Alicia Cordero Juan R. Torregrosa María P. Vassileva fractional derivatives iterative methods nonlinear equations root finding convergence order complex roots high-order methods 2022 info:eu-repo/semantics/bookPart book-chapter https://doi.org/10.1016/b978-0-32-390089-8.00010-6 Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing and Control Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing and Control Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing and Control, 2022 info:eu-repo/semantics/closedAccess closedAccess Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Giro Candelario Alicia Cordero Juan R. Torregrosa María P. Vassileva conformable fractional derivative nonlinear equations quadratic convergence convergence analysis computational cost Riemann-Liouville fractional derivative Caputo fractional derivative 2022 info:eu-repo/semantics/article journal-article https://doi.org/10.1016/j.aml.2021.107650 Applied Mathematics Letters Applied Mathematics Letters urn:issn:0893-9659 urn:issn:1873-5452 Applied Mathematics Letters, 2022 info:eu-repo/semantics/openAccess openAccess https://www.sciencedirect.com/science/article/pii/S0893965921003487 Q1 Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal Derivative Free Conformable Iterative Methods for Solving Nonlinear Equations Giro Candelario Alicia Cordero Juan R. Torregrosa María P. Vassileva conformable fractional derivative derivative-free iterative methods nonlinear equations secant method transcendental equations nonlinear algebraic equations convergence analysis optimal methods 2023 info:eu-repo/semantics/preprint preprint https://doi.org/10.20944/preprints202306.1632.v1 Preprints.org Preprints.org Preprints.org, 2023 info:eu-repo/semantics/openAccess openAccess cc-by https://doi.org/10.20944/preprints202306.1632.v1 doaj Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Giro Candelario Alicia Cordero Juan R. Torregrosa María P. 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Vassileva nonlinear transcendental equations conformable fractional derivative multipoint iterative methods higher-order iterative methods convergence analysis convergence order fractional derivatives Caputo fractional derivative Riemann-Liouville fractional derivative stability 2023 info:eu-repo/semantics/article journal-article https://doi.org/10.3390/math11112568 Mathematics Mathematics urn:issn:2227-7390 Mathematics, 2023 info:eu-repo/semantics/openAccess openAccess cc-by https://www.mdpi.com/2227-7390/11/11/2568/pdf?version=1685948626 Q2 doaj Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal Multipoint Fractional Iterative Methods with (2α + 1)th-Order of Convergence for Solving Nonlinear Problems Giro Candelario Alicia Cordero Juan R. Torregrosa multipoint iterative methods fractional derivatives nonlinear equations root finding convergence order convergence analysis sensitivity to initial conditions 2020 info:eu-repo/semantics/article journal-article https://doi.org/10.3390/math8030452 Mathematics Mathematics urn:issn:2227-7390 Mathematics, 2020 info:eu-repo/semantics/openAccess openAccess cc-by https://www.mdpi.com/2227-7390/8/3/452/pdf?version=1585281974 Q2 doaj Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal A fractional Traub method with $(2α+1)$th-order of convergence and its stability 2019 info:eu-repo/semantics/preprint preprint cris:cris-9b624915 2019 Instituto Tecnológico de Santo Domingo https://www.intec.edu.do/portal