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Journal Articles

Sobolev-Type Nonlinear ( k , ψ ) − Hilfer Fractional Differential Equations With Control: Approximate Controllability Exploration

Kerboua Mourad, Bouacida Ichrak, Segni Sami
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2024, 19(11): 111007.
Paper No: CND-24-1010
https://doi.org/10.1115/1.4066220
Published Online: September 13, 2024
View Article titled, Sobolev-Type Nonlinear ( k , ψ ) − Hilfer Fractional Differential Equations With Control: Approximate Controllability Exploration
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Topics: Control systems, Density, Differential equations, Probability, Theorems (Mathematics), Space
Journal Articles

On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel

Anh Tuan Nguyen, Van Tien Nguyen, Dumitru Baleanu, Van Thinh Nguyen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2023, 18(5): 051006.
Paper No: CND-22-1113
https://doi.org/10.1115/1.4062198
Published Online: April 5, 2023
View Article titled, On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel
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Topics: Diffusion (Physics), Space, Dimensions, Theorems (Mathematics)
Journal Articles

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Harry Dankowicz, Yuqing Wang, Frank Schilder, Michael E. Henderson
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051002.
Paper No: CND-19-1390
https://doi.org/10.1115/1.4046498
Published Online: March 18, 2020
View Article titled, Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems
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Topics: Boundary-value problems, Manifolds, Dynamic systems, Space, Geometry
Journal Articles

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

S. Natsiavas, E. Paraskevopoulos
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2019, 14(1): 011002.
Paper No: CND-18-1316
https://doi.org/10.1115/1.4041775
Published Online: November 19, 2018
View Article titled, A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts
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Topics: Boundary layers, Collisions (Physics), Friction, Manifolds, Pendulums, Dynamics (Mechanics), Particulate matter, Multibody systems, Equations of motion, Space
Journal Articles

A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations

BeiBei Guo, Wei Jiang, ChiPing Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051004.
Paper No: CND-16-1434
https://doi.org/10.1115/1.4035896
Published Online: March 9, 2017
View Article titled, A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations
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Topics: Differential equations, Numerical analysis, Space, Algorithms
Journal Articles

Implementation Details of a Generalized- α Differential-Algebraic Equation Lie Group Method

Martin Arnold, Stefan Hante
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2017, 12(2): 021002.
Paper No: CND-15-1301
https://doi.org/10.1115/1.4033441
Published Online: December 2, 2016
View Article titled, Implementation Details of a Generalized- α Differential-Algebraic Equation Lie Group Method
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Topics: Algebra, Algorithms, Die cutting, Differential equations, Equations of motion, Equilibrium (Physics), Errors, Shearing (Deformation), Space, Nonlinear equations
Journal Articles

Lyapunov–Schmidt Reduction for Fractional Differential Systems

Changpin Li, Li Ma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051022.
Paper No: CND-15-1385
https://doi.org/10.1115/1.4033607
Published Online: May 24, 2016
View Article titled, Lyapunov–Schmidt Reduction for Fractional Differential Systems
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Topics: Algorithms, Bifurcation, Dynamics (Mechanics), Space, Theorems (Mathematics), Phase diagrams
Journal Articles

Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces

Zuomao Yan, Hongwu Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011001.
Paper No: CND-12-1166
https://doi.org/10.1115/1.4030533
Published Online: January 1, 2016
View Article titled, Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces
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Topics: Delays, Space, Theorems (Mathematics), Linear systems
Journal Articles

Hybrid Delayed Synchronizations of Complex Chaotic Systems in Modulus-Phase Spaces and Its Application

Luo Chao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041010.
Paper No: CND-15-1102
https://doi.org/10.1115/1.4031956
Published Online: December 10, 2015
View Article titled, Hybrid Delayed Synchronizations of Complex Chaotic Systems in Modulus-Phase Spaces and Its Application
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Topics: Control equipment, Delays, Phase space, Switches, Synchronization, Design, Signals, Computer simulation, Space, Dynamics (Mechanics)
Journal Articles

Generalization of the Energetic Coefficient of Restitution for Contacts in Multibody Systems

Seyed Ali Modarres Najafabadi, József Kövecses, Jorge Angeles
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2008, 3(4): 041008.
https://doi.org/10.1115/1.2960477
Published Online: August 21, 2008
View Article titled, Generalization of the Energetic Coefficient of Restitution for Contacts in Multibody Systems
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Topics: Dynamics (Mechanics), Energy dissipation, Impulse (Physics), Kinetic energy, Multibody systems, Momentum, Absorption, Space, Collisions (Physics)