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Journal Articles

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Yonghyeon Jeon, Sunyoung Bu

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051005.

Paper No: CND-23-1250

https://doi.org/10.1115/1.4065012

Published Online: March 21, 2024

View Article titled, Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Topics: Errors, Integral equations, Laplace transforms, Approximation, Error analysis

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

Masataka Fukunaga

Publisher: ASME

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

Paper No: CND-21-1064

https://doi.org/10.1115/1.4051336

Published Online: August 11, 2021

View Article titled, A New Method for Laplace Transforms of Multiterm Fractional Differential Equations of the Caputo Type

Topics: Differential equations, Laplace transforms

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

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Bingen Yang, Yichi Zhang

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091006.

Paper No: CND-19-1457

https://doi.org/10.1115/1.4046641

Published Online: July 16, 2020

View Article titled, A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Topics: Displacement, Excitation, Laplace transforms, Structural mechanics, Transfer functions, Transient analysis, Transients (Dynamics), Vibration, Vibration analysis, Finite element analysis

Journal Articles

Free Oscillation Solution for Fractional Differential System

Masataka Fukunaga

Publisher: ASME

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

Paper No: CND-19-1161

https://doi.org/10.1115/1.4044922

Published Online: October 24, 2019

View Article titled, Free Oscillation Solution for Fractional Differential System

Topics: Oscillations, Differential equations, Laplace transforms

Journal Articles

Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2

Sunhua Huang, Bin Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2018, 13(3): 031003.

Paper No: CND-16-1436

https://doi.org/10.1115/1.4038443

Published Online: January 10, 2018

View Article titled, Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2

Topics: Nonlinear systems, Stability, Laplace transforms

Journal Articles

Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor

Yuxiang Guo, Baoli Ma

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021003.

Paper No: CND-17-1166

https://doi.org/10.1115/1.4037929

Published Online: November 1, 2017

View Article titled, Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor

Topics: Equilibrium (Physics), Laplace transforms, Motors, Nonlinear dynamics, Permanent magnets, Stability, Time-varying systems, Nonlinear systems, Engines, Theorems (Mathematics)

Journal Articles

Stabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor

Sunhua Huang, Bin Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2017, 12(4): 041005.

Paper No: CND-16-1198

https://doi.org/10.1115/1.4034997

Published Online: January 20, 2017

View Article titled, Stabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor

Topics: Computer simulation, Engines, Laplace transforms, Motors, Stability, Nonlinear systems, Oscillations, Vibration

Journal Articles

Hybrid Projective Synchronization of Fractional-Order Chaotic Complex Nonlinear Systems With Time Delays

G. Velmurugan, R. Rakkiyappan

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2016, 11(3): 031016.

Paper No: CND-15-1043

https://doi.org/10.1115/1.4031860

Published Online: November 16, 2015

View Article titled, Hybrid Projective Synchronization of Fractional-Order Chaotic Complex Nonlinear Systems With Time Delays

Topics: Delays, Nonlinear systems, Stability, Synchronization, Control equipment, Laplace transforms, Errors

Journal Articles

Energy Storage and Loss in Fractional-Order Systems

Tom T. Hartley, Jean-Claude Trigeassou, Carl F. Lorenzo, Nezha Maamri

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061006.

Paper No: CND-14-1113

https://doi.org/10.1115/1.4029511

Published Online: November 1, 2015

View Article titled, Energy Storage and Loss in Fractional-Order Systems

Topics: Approximation, Energy storage, Impulse (Physics), Laplace transforms, Resistors, Capacitors, Circuits, Dynamics (Mechanics), Inductors

Journal Articles

Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

Tom T. Hartley, Carl F. Lorenzo, Jean-Claude Trigeassou, Nezha Maamri

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041014.

Paper No: CND-12-1164

https://doi.org/10.1115/1.4023865

Published Online: June 10, 2013

View Article titled, Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

Topics: Differential equations, Laplace transforms, Impulse (Physics)

Journal Articles

A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems

Paulo Flores, Margarida Machado, Eurico Seabra, Miguel Tavares da Silva

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2011, 6(1): 011019.

https://doi.org/10.1115/1.4002338

Published Online: October 13, 2010

View Article titled, A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems

Topics: Dynamics (Mechanics), Equations of motion, Errors, Multibody systems, Laplace transforms

Journal Articles

Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems

Tom T. Hartley, Carl F. Lorenzo

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2008, 3(2): 021103.

https://doi.org/10.1115/1.2833480

Published Online: March 11, 2008

View Article titled, Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems

Topics: Differential equations, Gamma functions, Laplace transforms

Journal Articles

Initialization of Fractional-Order Operators and Fractional Differential Equations

Carl F. Lorenzo, Tom T. Hartley

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2008, 3(2): 021101.

https://doi.org/10.1115/1.2833585

Published Online: January 25, 2008

View Article titled, Initialization of Fractional-Order Operators and Fractional Differential Equations

Topics: Differential equations, Laplace transforms

Journal citation

NARROW

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

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

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

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

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Free Oscillation Solution for Fractional Differential System

Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2

Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor

Stabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor

Hybrid Projective Synchronization of Fractional-Order Chaotic Complex Nonlinear Systems With Time Delays

Energy Storage and Loss in Fractional-Order Systems

Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems

Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems

Initialization of Fractional-Order Operators and Fractional Differential Equations

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