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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 Articles

A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

Yiheng Wei, Weidi Yin, Yanting Zhao, Yong Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041008.

Paper No: CND-18-1343

https://doi.org/10.1115/1.4042635

Published Online: February 15, 2019

View Article titled, A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

Topics: Theorems (Mathematics), Electromagnetic induction

Journal Articles

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Bijan Hashtarkhani, Mohammad Javad Khosrowjerdi

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031009.

Paper No: CND-18-1420

https://doi.org/10.1115/1.4042141

Published Online: January 30, 2019

View Article titled, Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Topics: Actuators, Artificial neural networks, Control equipment, Design, Errors, Signals, Stability, Tracking control, Computer simulation, Theorems (Mathematics)

Journal Articles

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Hojjat Kaveh, Hassan Salarieh

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2019, 14(1): 011007.

Paper No: CND-18-1096

https://doi.org/10.1115/1.4041968

Published Online: November 28, 2018

View Article titled, Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Topics: Attractors, Chaos, Dynamics (Mechanics), Theorems (Mathematics), Time series, Feedback

Journal Articles

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Ben Muatjetjeja, Tshepo E. Mogorosi

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2018, 13(12): 121002.

Paper No: CND-18-1162

https://doi.org/10.1115/1.4041417

Published Online: October 15, 2018

View Article titled, Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Topics: Generators, Variational principles, Algebra, Theorems (Mathematics)

Journal citation

NARROW

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

A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

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