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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
189
Downloads
802
Views
Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation
(Articles)
Yuting Zhong
,
Renzhi Lu
,
Heng Su
Advances in Pure Mathematics
Vol.13 No.3
,March 17, 2023
DOI:
10.4236/apm.2023.133009
136
Downloads
547
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
1,143
Downloads
2,517
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
4,281
Downloads
5,732
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
1,905
Downloads
2,650
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
227
Downloads
831
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
1,197
Downloads
2,858
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
2,502
Downloads
3,632
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
993
Downloads
2,103
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
141
Downloads
707
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
120
Downloads
532
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
6,618
Downloads
11,866
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
7,302
Downloads
15,196
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
106
Downloads
651
Views
Citations
A Preliminary Study on the Genesis of De Broglie Wave
(Articles)
Yicheng Chen
Open Access Library Journal
Vol.11 No.4
,April 30, 2024
DOI:
10.4236/oalib.1111447
72
Downloads
628
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
3,396
Downloads
4,682
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
2,548
Downloads
3,644
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
3,912
Downloads
6,835
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
547
Downloads
1,414
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
3,148
Downloads
4,530
Views
Citations
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