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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
26
Downloads
111
Views
Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
(Articles)
M. Nurul Islam
,
M. Ali Akbar
Journal of Applied Mathematics and Physics
Vol.6 No.1
,January 11, 2018
DOI:
10.4236/jamp.2018.61009
903
Downloads
1,746
Views
Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials
(Articles)
Nasser H. Sweilam
,
Mohamed M. Khader
,
Mohamed Adel
Applied Mathematics
Vol.6 No.4
,April 10, 2015
DOI:
10.4236/am.2015.64058
4,051
Downloads
5,156
Views
Citations
On the Strongly Damped Wave Equations with Critical Nonlinearities
(Articles)
Qinghua Zhang
Journal of Applied Mathematics and Physics
Vol.4 No.4
,April 26, 2016
DOI:
10.4236/jamp.2016.44080
1,737
Downloads
2,191
Views
Citations
New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation
(Articles)
Zhiyun Zeng
,
Xiaohua Liu
,
Yin Zhu
,
Xue Huang
Journal of Applied Mathematics and Physics
Vol.10 No.2
,February 17, 2022
DOI:
10.4236/jamp.2022.102026
56
Downloads
248
Views
Citations
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
(Articles)
Md. Abdus Salam
,
Umme Habiba
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 24, 2019
DOI:
10.4236/jamp.2019.74061
773
Downloads
1,590
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
2,336
Downloads
3,153
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
680
Downloads
1,362
Views
Citations
Wave Equation of Micro Element Centroid Velocity in Thermodynamic System
(Articles)
Yicheng Chen
Open Access Library Journal
Vol.8 No.11
,November 11, 2021
DOI:
10.4236/oalib.1108082
30
Downloads
203
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
6,194
Downloads
10,906
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
,
Mohammad Danesh
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
6,880
Downloads
14,361
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
22
Downloads
109
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
3,184
Downloads
3,983
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
2,362
Downloads
3,143
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
3,471
Downloads
5,563
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
Proposal to Study Uniqueness Problem of Rayleigh Wave in Half-Space Kelvin Viscoelastic Media
(Articles)
Hua Cheng
,
Takashi Takiguchi
Journal of Applied Mathematics and Physics
Vol.7 No.9
,September 24, 2019
DOI:
10.4236/jamp.2019.79142
367
Downloads
804
Views
Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
2,913
Downloads
3,949
Views
Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
(Articles)
Jingqi Han
,
Litan Yan
Journal of Applied Mathematics and Physics
Vol.6 No.4
,April 27, 2018
DOI:
10.4236/jamp.2018.64078
635
Downloads
1,311
Views
Citations
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
(Articles)
Mohammed S. Mechee
,
Norazak Senu
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38126
5,842
Downloads
10,341
Views
Citations
Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection
(Articles)
Felix Silva Costa
,
Marta Raquel Araujo Pereira
Journal of Applied Mathematics and Physics
Vol.5 No.2
,February 24, 2017
DOI:
10.4236/jamp.2017.52041
1,168
Downloads
1,799
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
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