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OpenAlex Citation Counts

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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:

Visual Analysis of the Newton’s Method with Fractional Order Derivatives
Krzysztof Gdawiec, W. Kotarski, Agnieszka Lisowska
Symmetry (2019) Vol. 11, Iss. 9, pp. 1143-1143
Open Access | Times Cited: 38

Showing 1-25 of 38 citing articles:

Newton’s method with fractional derivatives and various iteration processes via visual analysis
Krzysztof Gdawiec, W. Kotarski, Agnieszka Lisowska
Numerical Algorithms (2020) Vol. 86, Iss. 3, pp. 953-1010
Open Access | Times Cited: 39
On the Derivation of a Fast Solver for Nonlinear Systems of Equations Utilizing Frozen Substeps with Applications
Mingming Liu, Stanford Shateyi
Axioms (2025) Vol. 14, Iss. 2, pp. 77-77
Open Access
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
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
Graphical and Numerical Study of a Newly Developed Root-Finding Algorithm and Its Engineering Applications
Amir Naseem, M. A. Rehman, Sania Qureshi, et al.
IEEE Access (2023) Vol. 11, pp. 2375-2383
Open Access | Times Cited: 11
A Novel Three-Step Numerical Solver for Physical Models under Fractal Behavior
Muath Awadalla, Sania Qureshi, Amanullah Soomro, et al.
Symmetry (2023) Vol. 15, Iss. 2, pp. 330-330
Open Access | Times Cited: 11
On the robust Newton’s method with the Mann iteration and the artistic patterns from its dynamics
Krzysztof Gdawiec, W. Kotarski, Agnieszka Lisowska
Nonlinear Dynamics (2021) Vol. 104, Iss. 1, pp. 297-331
Open Access | Times Cited: 20
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
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
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 Novel Root-Finding Algorithm With Engineering Applications and its Dynamics via Computer Technology
Amir Naseem, M. A. Rehman, Thabet Abdeljawad
IEEE Access (2022) Vol. 10, pp. 19677-19684
Open Access | Times Cited: 11
Fractional derivative-based performance analysis of hybrid thermoelectric generator-concentrator photovoltaic system
Eduardo De-la-Vega, A. Torres-Hernandez, Pedro M. Rodrigo, et al.
Applied Thermal Engineering (2021) Vol. 193, pp. 116984-116984
Closed Access | Times Cited: 15
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
Higher-Order Root-Finding Algorithms and Their Basins of Attraction
Amir Naseem, M. A. Rehman, Thabet Abdeljawad
Journal of Mathematics (2020) Vol. 2020, pp. 1-11
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
Optimal Control on ABC Fractal Fractional Order Model of Micro-plastic Pollution in Soil and its Effect on the Nutrient Cycle
P. Priya, A. Sabarmathi
Journal of Computational and Applied Mathematics (2024) Vol. 450, pp. 115997-115997
Closed Access | Times Cited: 1
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
From Fractal Behavior of Iteration Methods to an Efficient Solver for the Sign of a Matrix
Tao Liu, Malik Zaka Ullah, Khalid Mohammed Ali Alshahrani, et al.
Fractal and Fractional (2022) Vol. 7, Iss. 1, pp. 32-32
Open Access | Times Cited: 7
Numerical Methods With Engineering Applications and Their Visual Analysis via Polynomiography
Amir Naseem, M. A. Rehman, Thabet Abdeljawad
IEEE Access (2021) Vol. 9, pp. 99287-99298
Open Access | Times Cited: 9
Computational Methods for Non-Linear Equations with Some Real-World Applications and Their Graphical Analysis
Amir Naseem, M. A. Rehman, Thabet Abdeljawad
Intelligent Automation & Soft Computing (2021) Vol. 30, Iss. 3, pp. 805-819
Open Access | Times Cited: 9
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
Some engineering applications of newly constructed algorithms for one-dimensional non-linear equations and their fractal behavior
Amir Naseem, Muhammad Aziz‐ur Rehman, Thabet Abdeljawad, et al.
Journal of King Saud University - Science (2021) Vol. 33, Iss. 5, pp. 101457-101457
Open Access | Times Cited: 7
Real-World Applications of a Newly Designed Root-Finding Algorithm and Its Polynomiography
Amir Naseem, M. A. Rehman, Thabet Abdeljawad
IEEE Access (2021) Vol. 9, pp. 160868-160877
Open Access | Times Cited: 5
Some Real-Life Applications of a Newly Designed Algorithm for Nonlinear Equations and Its Dynamics via Computer Tools
Amir Naseem, M. A. Rehman, Jihad Younis
Complexity (2021) Vol. 2021, Iss. 1
Open Access | Times Cited: 5
Development of a New Multi-step Iteration Scheme for Solving Non-Linear Models with Complex Polynomiography
Amanullah Soomro, Amir Naseem, Sania Qureshi, et al.
Complexity (2022) Vol. 2022, Iss. 1
Open Access | Times Cited: 3
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