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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

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

Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem

Ryosuke Kanki, Akira Saito

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2024, 19(6): 061003.

Paper No: CND-24-1016

https://doi.org/10.1115/1.4065440

Published Online: May 13, 2024

View Article titled, Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem

Topics: Approximation, Elastic constants, Springs, Theorems (Mathematics), Noise (Sound), Displacement, Errors, Dampers, Stiffness

Journal Articles

α-Robust Error Analysis of L2- 1 σ Scheme on Graded Mesh for Time-Fractional Nonlocal Diffusion Equation

Pari J. Kundaliya

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051004.

Paper No: CND-23-1173

https://doi.org/10.1115/1.4065011

Published Online: March 21, 2024

View Article titled, α-Robust Error Analysis of L2- 1 σ Scheme on Graded Mesh for Time-Fractional Nonlocal Diffusion Equation

Topics: Diffusion (Physics), Errors, Error analysis, Theorems (Mathematics)

Journal Articles

A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel

Sondos M. Syam, Z. Siri, Sami H. Altoum, Musa Adam Aigo, R. Md. Kasmani

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2024, 19(4): 041001.

Paper No: CND-23-1110

https://doi.org/10.1115/1.4064719

Published Online: February 26, 2024

View Article titled, A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel

Topics: Errors, Numerical analysis, Polynomials, Theorems (Mathematics), Approximation

Journal Articles

Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

Jagdev Singh, Arpita Gupta, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2023, 18(9): 091001.

Paper No: CND-22-1327

https://doi.org/10.1115/1.4062391

Published Online: May 25, 2023

View Article titled, Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

Topics: Acoustics, Computer simulation, Dust, Dynamics (Mechanics), Electromagnetic radiation, Laplace transforms, Plasma physics, Reliability, Theorems (Mathematics), Wave propagation

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

Fixed-Time Synchronization of Fractional-Order Multilayer Complex Networks Via a New Fixed-Time Stability Theorem

Runzi Luo, Zijun Song, Shuai Liu, Jiaojiao Fu, Fang Zhang

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071003.

Paper No: CND-22-1252

https://doi.org/10.1115/1.4062200

Published Online: April 17, 2023

View Article titled, Fixed-Time Synchronization of Fractional-Order Multilayer Complex Networks Via a New Fixed-Time Stability Theorem

Topics: Stability, Synchronization, Theorems (Mathematics)

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

Publisher: ASME

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

Topics: Diffusion (Physics), Space, Dimensions, 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

Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

W. Kavitha Williams, V. Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021005.

Paper No: CND-22-1089

https://doi.org/10.1115/1.4056357

Published Online: December 20, 2022

View Article titled, Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

Topics: Delays, Theorems (Mathematics), Control systems

Journal Articles

Dynamics of a Rumor Propagation Model With Stochastic Perturbation on Homogeneous Social Networks

Yuhuai Zhang, Jianjun Zhu

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031005.

Paper No: CND-21-1182

https://doi.org/10.1115/1.4053269

Published Online: January 7, 2022

View Article titled, Dynamics of a Rumor Propagation Model With Stochastic Perturbation on Homogeneous Social Networks

Topics: Computer simulation, Dynamics (Mechanics), Noise (Sound), Probability, Emergencies, Stability, Theorems (Mathematics)

Journal Articles

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Fotios Georgiades

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071005.

Paper No: CND-21-1033

https://doi.org/10.1115/1.4050554

Published Online: June 4, 2021

View Article titled, Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Topics: Manifolds, Theorems (Mathematics), Waves, Particulate matter

Journal Articles

Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

Ashu Sharma

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2021, 16(5): 051005.

Paper No: CND-20-1320

https://doi.org/10.1115/1.4050614

Published Online: April 12, 2021

View Article titled, Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

Topics: Computation, Stability, Construction, Theorems (Mathematics)

Journal Articles

Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method

Haipeng Su, Runzi Luo, Jiaojiao Fu, Meichun Huang

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031004.

Paper No: CND-20-1316

https://doi.org/10.1115/1.4049561

Published Online: January 22, 2021

View Article titled, Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method

Topics: Sliding mode control, Synchronization, Theorems (Mathematics), Errors, Control equipment

Journal Articles

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

P. Veeresha, D. G. Prakasha, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011002.

Paper No: CND-19-1399

https://doi.org/10.1115/1.4048577

Published Online: October 29, 2020

View Article titled, An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

Topics: Algorithms, Laplace transforms, Rotation, Theorems (Mathematics), Thermoelasticity

Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

Publisher: ASME

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

Paper No: CND-19-1329

https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

View Article titled, Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

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

Journal Articles

Dynamic Analysis of a Stochastic Predator–Prey Model With Crowley–Martin Functional Response, Disease in Predator, and Saturation Incidence

Conghui Xu, Yongguang Yu, Guojian Ren

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071004.

Paper No: CND-19-1364

https://doi.org/10.1115/1.4047085

Published Online: May 20, 2020

View Article titled, Dynamic Analysis of a Stochastic Predator–Prey Model With Crowley–Martin Functional Response, Disease in Predator, and Saturation Incidence

Topics: Computer simulation, Diseases, Dynamic analysis, Theorems (Mathematics)

Journal Articles

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Ali Lotfi

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021001.

Paper No: CND-18-1348

https://doi.org/10.1115/1.4045504

Published Online: December 11, 2019

View Article titled, A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation

Journal Articles

Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior

Ali Kazemy, Khoshnam Shojaei

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061003.

Paper No: CND-18-1311

https://doi.org/10.1115/1.4043146

Published Online: April 8, 2019

View Article titled, Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior

Topics: Control equipment, Delays, Synchronization, Theorems (Mathematics), Design, Errors

Journal Articles

Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

Sunhua Huang, Bin Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2019, 14(5): 054501.

Paper No: CND-18-1369

https://doi.org/10.1115/1.4042999

Published Online: March 14, 2019

View Article titled, Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

Topics: Linear matrix inequalities, Nonlinear systems, Stability, Theorems (Mathematics), State feedback, Computer simulation, Control equipment, Closed loop systems, Design

Journal citation

NARROW

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

Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem

α-Robust Error Analysis of L2- 1 σ Scheme on Graded Mesh for Time-Fractional Nonlocal Diffusion Equation

A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel

Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory

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

Fixed-Time Synchronization of Fractional-Order Multilayer Complex Networks Via a New Fixed-Time Stability Theorem

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

Define the Lyapunov Exponents for ψ -Fractional Differential System

Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

Dynamics of a Rumor Propagation Model With Stochastic Perturbation on Homogeneous Social Networks

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Dynamic Analysis of a Stochastic Predator–Prey Model With Crowley–Martin Functional Response, Disease in Predator, and Saturation Incidence

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior

Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

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