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Zaid Odibat
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Journal Articles

A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study

Zaid Odibat
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011004.
Paper No: CND-24-1146
https://doi.org/10.1115/1.4066885
Published Online: November 8, 2024
View Article titled, A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study
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Topics: Approximation, Computer simulation, Differential equations, Errors
Journal Articles

On a Generalized Class of Nonsingular Kernel Operators and Their Singular Kernel Extensions: Useful Modeling Insights

Zaid Odibat, Dumitru Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121008.
Paper No: CND-23-1350
https://doi.org/10.1115/1.4066571
Published Online: October 18, 2024
View Article titled, On a Generalized Class of Nonsingular Kernel Operators and Their Singular Kernel Extensions: Useful Modeling Insights
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Topics: Differential equations, Modeling, Laplace transforms, Theorems (Mathematics)
Journal Articles

New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel

Zaid Odibat, Dumitru Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2023, 18(9): 091007.
Paper No: CND-22-1149
https://doi.org/10.1115/1.4062747
Published Online: July 12, 2023
View Article titled, New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel
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Topics: Algorithms, Differential equations
Journal Articles

The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Wafia Fafa, Zaid Odibat, Nabil Shawagfeh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021004.
Paper No: CND-22-1127
https://doi.org/10.1115/1.4056392
Published Online: December 19, 2022
View Article titled, The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives
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Topics: Differential equations, Approximation
Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.
Paper No: CND-21-1340
https://doi.org/10.1115/1.4056254
Published Online: December 9, 2022
View Article titled, Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations
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Topics: Algorithms, Differential equations, Approximation, Partial differential equations
Journal Articles

A Robust Computational Algorithm of Homotopy Asymptotic Method for Solving Systems of Fractional Differential Equations

Zaid Odibat, Sunil Kumar
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2019, 14(8): 081004.
Paper No: CND-18-1489
https://doi.org/10.1115/1.4043617
Published Online: May 13, 2019
View Article titled, A Robust Computational Algorithm of Homotopy Asymptotic Method for Solving Systems of Fractional Differential Equations
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Topics: Algorithms, Differential equations, Approximation