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Journal Articles

The phase transition of covariant Lyapunov vector precisely locates a stability reversal of quasi-periodic response

Limin Cao, J.K. Liu, Y.M. Chen

Publisher: ASME

J. Comput. Nonlinear Dynam.

Paper No: CND-24-1085

https://doi.org/10.1115/1.4066772

Published Online: October 4, 2024

View Article titled, The phase transition of covariant Lyapunov vector precisely locates a stability reversal of quasi-periodic response

Topics: Phase transitions, Stability, Quadratic programming, Bifurcation, Differential equations, Fracture toughness

Journal Articles

A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations

Yash Vats, Mani Mehra, Dietmar Oelz, Abhishek Kumar Singh

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2024, 19(12): 121003.

Paper No: CND-24-1099

https://doi.org/10.1115/1.4066330

Published Online: September 21, 2024

View Article titled, A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations

Topics: Differential equations, Diffusion (Physics), Noise (Sound), Algorithms, Wave equations, Modeling

Journal Articles

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

Kerboua Mourad, Bouacida Ichrak, Segni Sami

Publisher: ASME

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

Topics: Control systems, Density, Differential equations, Probability, Theorems (Mathematics), Space

Journal Articles

An Intelligent Parameter Identification Algorithm of Linear Fuzzy Fractional Differential Equation

Jun Dong

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2024, 19(10): 101005.

Paper No: CND-23-1179

https://doi.org/10.1115/1.4066093

Published Online: August 22, 2024

View Article titled, An Intelligent Parameter Identification Algorithm of Linear Fuzzy Fractional Differential Equation

Topics: Algorithms, Differential equations

Journal Articles

Haar Wavelet Approach for the Mathematical Model on Hepatitis B Virus

Kumbinarasaiah S., Yeshwanth R.

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2024, 19(9): 091003.

Paper No: CND-24-1006

https://doi.org/10.1115/1.4065843

Published Online: July 13, 2024

View Article titled, Haar Wavelet Approach for the Mathematical Model on Hepatitis B Virus

Topics: Wavelets, Differential equations

Journal Articles

Fuzzy Uncertainty Analysis of a Fractional Order Human Immunodeficiency Virus Dynamic Model With Type-1 and Interval Type-2 Parameters

Dhabaleswar Mohapatra, S. Chakraverty

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2024, 19(8): 081001.

Paper No: CND-23-1215

https://doi.org/10.1115/1.4065604

Published Online: June 7, 2024

View Article titled, Fuzzy Uncertainty Analysis of a Fractional Order Human Immunodeficiency Virus Dynamic Model With Type-1 and Interval Type-2 Parameters

Topics: Computer simulation, Differential equations, Diseases, Dynamic models, Dynamics (Mechanics), Errors, Matlab, Uncertainty, Uncertainty analysis

Journal Articles

Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration

Alexandra Kissel, Luning Bakke, Dan Negrut

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2024, 19(7): 071002.

Paper No: CND-23-1274

https://doi.org/10.1115/1.4065254

Published Online: May 13, 2024

View Article titled, Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration

Topics: Differential equations, Equations of motion, Kinematics, Multibody dynamics, Pendulums, Radium, Simulation, Constraint equations, Algorithms

Journal Articles

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Lauri Pyrhönen, Thijs Willems, Aki Mikkola, Frank Naets

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051001.

Paper No: CND-23-1278

https://doi.org/10.1115/1.4064794

Published Online: March 7, 2024

View Article titled, Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Topics: Algorithms, Differential equations, Friction, Kinematics, Multibody systems, Regression models, State estimation, System dynamics, Torque, Trajectories (Physics)

Journal Articles

Compactons in Higher-Order Nesterenko's-Type Equations

Vsevolod Vladimirov, Sergii Skurativskyi

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051002.

Paper No: CND-23-1300

https://doi.org/10.1115/1.4064796

Published Online: March 7, 2024

View Article titled, Compactons in Higher-Order Nesterenko's-Type Equations

Topics: Approximation, Chain, Dynamics (Mechanics), Partial differential equations, Solitons, Stability, Trains, Collisions (Physics), Waves, Differential equations

Journal Articles

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

P. K. Singh, S. Saha Ray

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2024, 19(1): 011004.

Paper No: CND-22-1311

https://doi.org/10.1115/1.4063885

Published Online: November 15, 2023

View Article titled, Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

Topics: Differential equations, Polynomials, Algebra, Error analysis

Journal Articles

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

Kensuke Hara

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2023, 18(12): 121006.

Paper No: CND-22-1345

https://doi.org/10.1115/1.4063722

Published Online: October 26, 2023

View Article titled, Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

Topics: Algebra, Damping, Fluids, Sloshing, Computation, Size reduction (Materials), Differential equations, Displacement, Equations of motion

Journal Articles

Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

Asterios Pantokratoras

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2023, 18(11): 115501.

Paper No: CND-23-1031

https://doi.org/10.1115/1.4063336

Published Online: September 14, 2023

View Article titled, Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

Topics: Errors, Flow (Dynamics), Mixed convection, Plates (structures), Viscosity, Fluids, Gravity (Force), Physics, Differential equations, Kinematics

Journal Articles

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

Zaid Odibat, Dumitru Baleanu

Publisher: ASME

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

Topics: Algorithms, Differential equations

Journal Articles

A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Ioannis Dassios, Georgios Tzounas, Federico Milano

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071006.

Paper No: CND-22-1321

https://doi.org/10.1115/1.4062300

Published Online: April 21, 2023

View Article titled, A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Topics: Biology, Decision making, Differential equations, Energy sustainability, Linear systems, Logistics, Modeling, Radiological dispersal devices, Storage, Theorems (Mathematics)

Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.

Paper No: CND-22-1240

https://doi.org/10.1115/1.4057041

Published Online: March 20, 2023

View Article titled, Define the Lyapunov Exponents for ψ -Fractional Differential System

Topics: Differential equations, Eigenvalues, Jacobian matrices, Theorems (Mathematics), Volterra equations, Separation (Technology), Attractors, Computation

Journal Articles

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

Wafia Fafa, Zaid Odibat, Nabil Shawagfeh

Publisher: ASME

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

Topics: Differential equations, Approximation

Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah

Publisher: ASME

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

Topics: Algorithms, Differential equations, Approximation, Partial differential equations

Journal Articles

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Luning Fang, Alexandra Kissel, Ruochun Zhang, Dan Negrut

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2023, 18(1): 014501.

Paper No: CND-22-1206

https://doi.org/10.1115/1.4056183

Published Online: November 17, 2022

View Article titled, On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Topics: Equations of motion, Friction, Jacobian matrices, Multibody dynamics, Pendulums, Computation, Simulation, Kinematics, Computer software, Differential algebraic equations

Journal Articles

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Ping Zhou, Hui Ren

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.

Paper No: CND-21-1358

https://doi.org/10.1115/1.4054801

Published Online: June 22, 2022

View Article titled, Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Topics: Constraint equations, Equations of motion, Parametrization, Rotation, Stability, Dynamics (Mechanics), System dynamics, Differential equations

Journal Articles

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.

Paper No: CND-21-1167

https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

View Article titled, A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction

Journal citation

NARROW

Manuscript

The phase transition of covariant Lyapunov vector precisely locates a stability reversal of quasi-periodic response

A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations

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

An Intelligent Parameter Identification Algorithm of Linear Fuzzy Fractional Differential Equation

Haar Wavelet Approach for the Mathematical Model on Hepatitis B Virus

Fuzzy Uncertainty Analysis of a Fractional Order Human Immunodeficiency Virus Dynamic Model With Type-1 and Interval Type-2 Parameters

Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Compactons in Higher-Order Nesterenko's-Type Equations

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J. Comput. Nonlinear Dyn., 17(7), p. 071008)

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

A Formula of Solutions for Non-Autonomous Linear Difference Equations With a Fractional Forward Operator

Define the Lyapunov Exponents for ψ -Fractional Differential System

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

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

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