
OpenAlex is a bibliographic catalogue of scientific papers, authors and institutions accessible in open access mode, named after the Library of Alexandria. It's citation coverage is excellent and I hope you will find utility in this listing of citing articles!
If you click the article title, you'll navigate to the article, as listed in CrossRef. If you click the Open Access links, you'll navigate to the "best Open Access location". Clicking the citation count will open this listing for that article. Lastly at the bottom of the page, you'll find basic pagination options.
Requested Article:
Fractional Newton-Raphson Method
A. Torres-Hernandez, F. Brambila-Paz
Applied Mathematics and Sciences An International Journal (MathSJ) (2021) Vol. 8, Iss. 1, pp. 1-13
Open Access | Times Cited: 27
A. Torres-Hernandez, F. Brambila-Paz
Applied Mathematics and Sciences An International Journal (MathSJ) (2021) Vol. 8, Iss. 1, pp. 1-13
Open Access | Times Cited: 27
Showing 1-25 of 27 citing articles:
A fractional Newton method with 2 α th-order of convergence and its stability
Ali Akgül, Alicia Cordero, Juan R. Torregrosa
Applied Mathematics Letters (2019) Vol. 98, pp. 344-351
Open Access | Times Cited: 66
Ali Akgül, Alicia Cordero, Juan R. Torregrosa
Applied Mathematics Letters (2019) Vol. 98, pp. 344-351
Open Access | Times Cited: 66
Use of fractional calculus to avoid divergence in newton-like solver for solving one-dimensional nonlinear polynomial-based models
Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, et al.
Communications in Nonlinear Science and Numerical Simulation (2025), pp. 108631-108631
Closed Access
Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, et al.
Communications in Nonlinear Science and Numerical Simulation (2025), pp. 108631-108631
Closed Access
The efficient geometrical nonlinear analysis method for civil engineering structures
Abdulrahman M. Al-Nadhari, Sifeddine Abderrahmani, Djamal Hamadi, et al.
Asian Journal of Civil Engineering (2024) Vol. 25, Iss. 4, pp. 3565-3573
Closed Access | Times Cited: 3
Abdulrahman M. Al-Nadhari, Sifeddine Abderrahmani, Djamal Hamadi, et al.
Asian Journal of Civil Engineering (2024) Vol. 25, Iss. 4, pp. 3565-3573
Closed Access | Times Cited: 3
Fractional Newton-Raphson Method and Some Variants for the Solution of Nonlinear Systems
A. Torres-Hernandez, F. Brambila-Paz, Eduardo De-la-Vega
Applied Mathematics and Sciences An International Journal (MathSJ) (2020) Vol. 7, Iss. 1, pp. 13-27
Open Access | Times Cited: 26
A. Torres-Hernandez, F. Brambila-Paz, Eduardo De-la-Vega
Applied Mathematics and Sciences An International Journal (MathSJ) (2020) Vol. 7, Iss. 1, pp. 13-27
Open Access | Times Cited: 26
Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
Fractal and Fractional (2023) Vol. 8, Iss. 1, pp. 16-16
Open Access | Times Cited: 8
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
Fractal and Fractional (2023) Vol. 8, Iss. 1, pp. 16-16
Open Access | Times Cited: 8
Fractional Newton–Raphson Method Accelerated with Aitken’s Method
A. Torres-Hernandez, F. Brambila-Paz, Ursula Iturrarán‐Viveros, et al.
Axioms (2021) Vol. 10, Iss. 2, pp. 47-47
Open Access | Times Cited: 18
A. Torres-Hernandez, F. Brambila-Paz, Ursula Iturrarán‐Viveros, et al.
Axioms (2021) Vol. 10, Iss. 2, pp. 47-47
Open Access | Times Cited: 18
Global convergence analysis of Caputo fractional Whittaker method with real world applications
Sapan Kumar Nayak, P. K. Parida
Cubo (2024) Vol. 26, Iss. 1, pp. 167-190
Open Access | Times Cited: 2
Sapan Kumar Nayak, P. K. Parida
Cubo (2024) Vol. 26, Iss. 1, pp. 167-190
Open Access | Times Cited: 2
Sets of Fractional Operators and Numerical Estimation of the Order of Convergence of a Family of Fractional Fixed-Point Methods
A. Torres-Hernandez, F. Brambila-Paz
Fractal and Fractional (2021) Vol. 5, Iss. 4, pp. 240-240
Open Access | Times Cited: 16
A. Torres-Hernandez, F. Brambila-Paz
Fractal and Fractional (2021) Vol. 5, Iss. 4, pp. 240-240
Open Access | Times Cited: 16
Acceleration of the order of convergence of a family of fractional fixed-point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers
A. Torres-Hernandez, F. Brambila-Paz, Rodrigo Montúfar‐Chaveznava
Applied Mathematics and Computation (2022) Vol. 429, pp. 127231-127231
Open Access | Times Cited: 10
A. Torres-Hernandez, F. Brambila-Paz, Rodrigo Montúfar‐Chaveznava
Applied Mathematics and Computation (2022) Vol. 429, pp. 127231-127231
Open Access | Times Cited: 10
Fractional Pseudo-newton Method and its use in the Solution of a Nonlinear System that Allows the Construction of a Hybrid Solar Receiver
A. Torres-Hernandez, F. Brambila-Paz, Pedro M. Rodrigo, et al.
Applied Mathematics and Sciences An International Journal (MathSJ) (2020) Vol. 7, Iss. 2, pp. 01-12
Open Access | Times Cited: 15
A. Torres-Hernandez, F. Brambila-Paz, Pedro M. Rodrigo, et al.
Applied Mathematics and Sciences An International Journal (MathSJ) (2020) Vol. 7, Iss. 2, pp. 01-12
Open Access | Times Cited: 15
Reduction of a nonlinear system and its numerical solution using a fractional iterative method
A. Torres-Hernandez, F. Brambila-Paz, Pedro M. Rodrigo
arXiv (Cornell University) (2020)
Open Access | Times Cited: 15
A. Torres-Hernandez, F. Brambila-Paz, Pedro M. Rodrigo
arXiv (Cornell University) (2020)
Open Access | Times Cited: 15
Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black–Scholes
A. Torres-Hernandez, F. Brambila-Paz, C. A. Torres-Martínez
Computational and Applied Mathematics (2021) Vol. 40, Iss. 7
Open Access | Times Cited: 13
A. Torres-Hernandez, F. Brambila-Paz, C. A. Torres-Martínez
Computational and Applied Mathematics (2021) Vol. 40, Iss. 7
Open Access | Times Cited: 13
An Approximation to Zeros of the Riemann Zeta Function Using Fractional Calculus
A. Torres-Hernandez, F. Brambila-Paz
Mathematics and Statistics (2021) Vol. 9, Iss. 3, pp. 309-318
Open Access | Times Cited: 10
A. Torres-Hernandez, F. Brambila-Paz
Mathematics and Statistics (2021) Vol. 9, Iss. 3, pp. 309-318
Open Access | Times Cited: 10
Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 17-24
Open Access | Times Cited: 6
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 17-24
Open Access | Times Cited: 6
A Nonlinear System Related to Investment under Uncertainty Solved using the Fractional Pseudo-Newton Method
A. Torres-Hernandez, F. Brambila-Paz, J. J. Brambila
Journal of Mathematical Sciences Advances and Applications (2020) Vol. 63, Iss. 1, pp. 41-53
Open Access | Times Cited: 8
A. Torres-Hernandez, F. Brambila-Paz, J. J. Brambila
Journal of Mathematical Sciences Advances and Applications (2020) Vol. 63, Iss. 1, pp. 41-53
Open Access | Times Cited: 8
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems
Francisco Damasceno Freitas, Laice Neves de Oliveira
Fractional Calculus and Applied Analysis (2024) Vol. 27, Iss. 6, pp. 3414-3445
Closed Access
Francisco Damasceno Freitas, Laice Neves de Oliveira
Fractional Calculus and Applied Analysis (2024) Vol. 27, Iss. 6, pp. 3414-3445
Closed Access
Analysis of the basins of attraction generated by a pseudo Newton-Raphson method iterating over complex order derivatives
Kimon Moratis
Numerical Algorithms (2024)
Closed Access
Kimon Moratis
Numerical Algorithms (2024)
Closed Access
Code of the Multidimensional Fractional Pseudo-Newton Method using Recursive Programming
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 1-7
Open Access | Times Cited: 2
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 1-7
Open Access | Times Cited: 2
Fractional Flow Equations: A Model for Pressure Deficit in an Oil Well
Benito F. Martínez-Salgado, Fernando Alcántara-López, A. Torres-Hernandez, et al.
Journal of Mathematical Sciences Advances and Applications (2020) Vol. 63, Iss. 1, pp. 55-79
Open Access | Times Cited: 1
Benito F. Martínez-Salgado, Fernando Alcántara-López, A. Torres-Hernandez, et al.
Journal of Mathematical Sciences Advances and Applications (2020) Vol. 63, Iss. 1, pp. 55-79
Open Access | Times Cited: 1
Code of the Multidimensional Fractional Quasi-Newton Method using Recursive Programming
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 9-15
Open Access | Times Cited: 1
A. Torres-Hernandez
Applied Mathematics and Sciences An International Journal (MathSJ) (2022) Vol. 9, Iss. 1, pp. 9-15
Open Access | Times Cited: 1
Sets of Fractional Operators and Some of Their Applications
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
IntechOpen eBooks (2022)
Open Access | Times Cited: 1
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
IntechOpen eBooks (2022)
Open Access | Times Cited: 1
Abelian Groups of Fractional Operators
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
(2022) Vol. 2014, pp. 4-4
Open Access | Times Cited: 1
A. Torres-Hernandez, F. Brambila-Paz, Rafael Ramírez
(2022) Vol. 2014, pp. 4-4
Open Access | Times Cited: 1
Métodos iterativos fraccionarios para la resolución de ecuaciones y sistemas no lineales: diseño, análisis y estabilidad
Giro Guillermo Candelario Villalona
(2023)
Open Access
Giro Guillermo Candelario Villalona
(2023)
Open Access
A Torres-Hernandez, F. Brambila-Paz, Pedro M. Rodrigo, et al.
Applied Mathematics and Sciences An International Journal (MathSJ) (2020) Vol. 7, Iss. 2
Open Access