Fractional Duffing Equation - Articles - Scientific Research Publishing

Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation (Articles)

Kelei Zhang, Zhenfeng Zhang, Tao Yuwen

Advances in Pure Mathematics Vol.12 No.7, July 28, 2022

DOI: 10.4236/apm.2022.127035 326 Downloads 1,213 Views Citations
On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity (Articles)

Nnaji Daniel Ugochukwu, Makuochukwu Felix Oguagbaka, Ezenwobodo Somkene Samuel, Nnaemeka Stanley Aguegboh, Onyiaji Netochukwu Ebube

Open Access Library Journal Vol.7 No.5, May 7, 2020

DOI: 10.4236/oalib.1106184 530 Downloads 1,902 Views Citations
Bifurcations and Chaos in the Duffing Equation with One Degenerate Saddle Point and Single External Forcing (Articles)

Zhiyang Yang, Tao Jiang

Journal of Applied Mathematics and Physics Vol.5 No.9, October 16, 2017

DOI: 10.4236/jamp.2017.59161 1,233 Downloads 3,788 Views Citations
A New Method for the Exact Solution of Duffing Equation (Articles)

Ossou Nazila Fred Nelson, Zheng Yu, Bambi Prince Dorian, Yuya Wang

Journal of Applied Mathematics and Physics Vol.6 No.12, December 31, 2018

DOI: 10.4236/jamp.2018.612225 1,307 Downloads 5,662 Views Citations
Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation (Articles)

Haiduke Sarafian

American Journal of Computational Mathematics Vol.8 No.3, September 29, 2018

DOI: 10.4236/ajcm.2018.83021 827 Downloads 1,759 Views Citations
Nonlinear Oscillations of a Magneto Static Spring-Mass (Articles)

Haiduke Sarafian

Journal of Electromagnetic Analysis and Applications Vol.3 No.5, May 23, 2011

DOI: 10.4236/jemaa.2011.35022 4,873 Downloads 9,557 Views Citations
Coupling Interactions and Trapped Effects for a Triple-Well Potential (Articles)

Sezgin Aydın, Mehmet Şimşek

Journal of Modern Physics Vol.2 No.8, August 31, 2011

DOI: 10.4236/jmp.2011.28106 5,124 Downloads 10,287 Views Citations
Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators (Articles)

Youhua Qian, Dongxu Ren, Shengmin Chen, Lin Ping

Modern Mechanical Engineering Vol.2 No.4, November 30, 2012

DOI: 10.4236/mme.2012.24022 4,516 Downloads 8,914 Views Citations
A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem (Articles)

E. O. Eze, J. N. Ezeora, U. E. Obasi

Open Journal of Applied Sciences Vol.8 No.10, October 22, 2018

DOI: 10.4236/ojapps.2018.810036 1,077 Downloads 2,196 Views Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term (Articles)

Vadivel Sadhasivam, Jayapal Kavitha

Applied Mathematics Vol.7 No.3, February 29, 2016

DOI: 10.4236/am.2016.73025 2,680 Downloads 4,068 Views Citations
Oscillation for a Class of Fractional Differential Equation (Articles)

Qian Feng, Anping Liu

Journal of Applied Mathematics and Physics Vol.7 No.7, July 10, 2019

DOI: 10.4236/jamp.2019.77096 1,168 Downloads 2,715 Views Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations (Articles)

Xulong Wang, Siying Long, Anping Liu

Journal of Applied Mathematics and Physics Vol.10 No.10, October 21, 2022

DOI: 10.4236/jamp.2022.1010203 241 Downloads 1,175 Views Citations
Harmonic Solutions of Duffing Equation with Singularity via Time Map (Articles)

Jing Xia, Suwen Zheng, Baohong Lv, Caihong Shan

Applied Mathematics Vol.5 No.10, June 3, 2014

DOI: 10.4236/am.2014.510146 2,747 Downloads 4,157 Views Citations
Application of Stability Theory in Study of Local Dynamics of Nonlinear Systems (Articles)

Tahmineh Azizi, Gabriel Kerr

Journal of Applied Mathematics and Physics Vol.8 No.6, June 23, 2020

DOI: 10.4236/jamp.2020.86089 1,029 Downloads 4,030 Views Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29150 6,902 Downloads 12,522 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

Advances in Pure Mathematics Vol.1 No.6, November 24, 2011

DOI: 10.4236/apm.2011.16062 7,543 Downloads 15,812 Views Citations
Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity (Articles)

Xueqian Yan

Open Access Library Journal Vol.9 No.6, June 15, 2022

DOI: 10.4236/oalib.1108837 137 Downloads 995 Views Citations
The Oscillation of a Class of Fractional Impulsive Partial Differential Equations (Articles)

Li Fan, Anping Liu

Journal of Applied Mathematics and Physics Vol.13 No.9, September 26, 2025

DOI: 10.4236/jamp.2025.139177 99 Downloads 406 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613192 3,557 Downloads 5,180 Views Citations
This article belongs to the Special Issue on Fractional Calculus
The Extended Non-Elementary Amplitude Functions as Solutions to the Damped Pendulum Equation, the Van der Pol Equation, the Damped Duffing Equation, the Lienard Equation and the Lorenz Equations (Articles)

Magne Stensland

Journal of Applied Mathematics and Physics Vol.11 No.11, November 10, 2023

DOI: 10.4236/jamp.2023.1111218 220 Downloads 785 Views Citations

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