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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
895
Downloads
1,724
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
4,041
Downloads
5,132
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
1,733
Downloads
2,177
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
51
Downloads
221
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
754
Downloads
1,518
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
2,333
Downloads
3,140
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
662
Downloads
1,306
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
29
Downloads
194
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
6,182
Downloads
10,875
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
6,866
Downloads
14,313
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
13
Downloads
71
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
3,175
Downloads
3,965
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
2,353
Downloads
3,127
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
3,442
Downloads
5,479
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
361
Downloads
776
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
2,902
Downloads
3,915
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
629
Downloads
1,297
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
5,801
Downloads
10,241
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
1,160
Downloads
1,783
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
New Applications to Solitary Wave Ansatz
(Articles)
Muhammad Younis
,
Safdar Ali
Applied Mathematics
Vol.5 No.6
,April 8, 2014
DOI:
10.4236/am.2014.56092
3,832
Downloads
5,410
Views
Citations
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