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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
136
Downloads
556
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
376
Downloads
1,128
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
1,009
Downloads
2,375
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
1,023
Downloads
4,013
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
625
Downloads
1,153
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
4,450
Downloads
8,557
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
4,835
Downloads
9,442
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
4,228
Downloads
8,094
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
841
Downloads
1,495
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
2,430
Downloads
3,418
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
917
Downloads
1,809
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
92
Downloads
497
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
2,491
Downloads
3,477
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
662
Downloads
2,871
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
6,476
Downloads
11,548
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
7,160
Downloads
14,858
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
70
Downloads
449
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
3,319
Downloads
4,423
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method
(Articles)
Rubayyi T. Alqahtani
Applied Mathematics
Vol.6 No.13
,November 30, 2015
DOI:
10.4236/am.2015.613190
2,481
Downloads
3,420
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus
(Articles)
Tohru Morita
,
Ken-ichi Sato
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63015
3,793
Downloads
6,392
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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