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Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang

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

Paper No: CND-22-1240

DOI: https://doi.org/10.1115/1.4057041

Published Online: March 20, 2023

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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

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021004.

Paper No: CND-22-1127

DOI: https://doi.org/10.1115/1.4056392

Published Online: December 19, 2022

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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

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.

Paper No: CND-21-1340

DOI: https://doi.org/10.1115/1.4056254

Published Online: December 9, 2022

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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

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

Paper No: CND-22-1206

DOI: https://doi.org/10.1115/1.4056183

Published Online: November 17, 2022

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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

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

Paper No: CND-21-1358

DOI: https://doi.org/10.1115/1.4054801

Published Online: June 22, 2022

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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

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

Paper No: CND-21-1167

DOI: https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

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

Journal Articles

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Muhammad Farman, Muhammad Aslam, Ali Akgül, Fahd Jarad

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071007.

Paper No: CND-21-1148

DOI: https://doi.org/10.1115/1.4054347

Published Online: May 18, 2022

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Topics: Chemistry, Differential equations, Fractals

Journal Articles

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Uddhaba Biswal, S. Chakraverty, Bata Krushna Ojha

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081002.

Paper No: CND-21-1360

DOI: https://doi.org/10.1115/1.4054154

Published Online: April 1, 2022

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Topics: Flow (Dynamics), Inverse problems, Nanofluids, Nanoparticles, Boundary-value problems, Approximation, Differential equations

Journal Articles

On Solutions of Fractional Telegraph Model With Mittag–Leffler Kernel

Ali Akgül, Mahmut Modanli

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021006.

Paper No: CND-21-1188

DOI: https://doi.org/10.1115/1.4053036

Published Online: December 21, 2021

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Topics: Stability, Finite difference methods, Differential equations

Journal Articles

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Rajarama Mohan Jena, Snehashish Chakraverty

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021001.

Paper No: CND-21-1192

DOI: https://doi.org/10.1115/1.4052788

Published Online: November 17, 2021

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Topics: Differential equations, Interpolation, Polynomials, Springs, Stability, Error analysis

Journal Articles

A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Masataka Fukunaga

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101003.

Paper No: CND-21-1064

DOI: https://doi.org/10.1115/1.4051336

Published Online: August 11, 2021

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Topics: Differential equations, Laplace transforms

Journal Articles

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Mine Aylin Bayrak, Ali Demir

J. Comput. Nonlinear Dynam. August 2021, 16(8): 081001.

Paper No: CND-20-1133

DOI: https://doi.org/10.1115/1.4051284

Published Online: June 16, 2021

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Topics: Differential equations, Polynomials, Schrödinger equation

Journal Articles

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Changpin Li, Chuntao Yin

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071002.

Paper No: CND-21-1026

DOI: https://doi.org/10.1115/1.4051024

Published Online: May 18, 2021

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Topics: Differential equations, Eigenvalues

Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Philipp Eichmeir, Karin Nachbagauer, Thomas Lauß, Karim Sherif, Wolfgang Steiner

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031003.

Paper No: CND-20-1290

DOI: https://doi.org/10.1115/1.4049334

Published Online: January 22, 2021

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Topics: Algorithms, Boundary-value problems, Differential equations, Dynamic systems, Errors, Optimal control, Optimization, Robots, Time optimal control, Pendulums

Journal Articles

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Haile Habenom, D. L. Suthar, D. Baleanu, S. D. Purohit

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011004.

Paper No: CND-20-1199

DOI: https://doi.org/10.1115/1.4048475

Published Online: October 29, 2020

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Topics: Computer simulation, Differential equations, Diseases, Dynamics (Mechanics), Equilibrium (Physics), Polynomials, Stability, Nonlinear equations, Mathematical analysis, Matlab

Journal Articles

Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Orestes Tumbarell Aranda, Fernando A. Oliveira

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101009.

Paper No: CND-20-1087

DOI: https://doi.org/10.1115/1.4047990

Published Online: August 26, 2020

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Topics: Density, Differential equations, Dynamics (Mechanics), Pattern formation

Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.

Paper No: CND-19-1329

DOI: https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

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Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)

Journal Articles

Modeling Contacts and Hysteretic Behavior in Discrete Systems Via Variable-Order Fractional Operators

Sansit Patnaik, Fabio Semperlotti

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091008.

Paper No: CND-19-1468

DOI: https://doi.org/10.1115/1.4046831

Published Online: July 16, 2020

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Topics: Contact dynamics, Contact mechanics, Discrete systems, Displacement, Dynamics (Mechanics), Equations of motion, Modeling, Nonlinear dynamical systems, Simulation, Springs

Journal Articles

Free Oscillation Solution for Fractional Differential System

Masataka Fukunaga

J. Comput. Nonlinear Dynam. December 2019, 14(12): 124502.

Paper No: CND-19-1161

DOI: https://doi.org/10.1115/1.4044922

Published Online: October 24, 2019

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Topics: Oscillations, Differential equations, Laplace transforms

Journal Articles

A Numerical Method for Caputo Differential Equations and Application of High-Speed Algorithm

Masataka Fukunaga, Nobuyuki Shimizu

J. Comput. Nonlinear Dynam. September 2019, 14(9): 091007.

Paper No: CND-18-1365

DOI: https://doi.org/10.1115/1.4043794

Published Online: July 17, 2019

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Topics: Algorithms, Differential equations, Errors

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Journal citation

NARROW

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

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

On Solutions of Fractional Telegraph Model With Mittag–Leffler Kernel

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Modeling Contacts and Hysteretic Behavior in Discrete Systems Via Variable-Order Fractional Operators

Free Oscillation Solution for Fractional Differential System

A Numerical Method for Caputo Differential Equations and Application of High-Speed Algorithm

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