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ISSN
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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
770
Downloads
1,393
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
3,937
Downloads
4,845
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
1,679
Downloads
2,045
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
586
Downloads
989
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
2,234
Downloads
2,930
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
467
Downloads
816
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
6,049
Downloads
10,562
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
6,689
Downloads
13,830
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
3,077
Downloads
3,761
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
2,252
Downloads
2,909
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
3,233
Downloads
4,786
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
278
Downloads
500
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
2,799
Downloads
3,694
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
498
Downloads
1,004
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
5,521
Downloads
9,572
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
1,010
Downloads
1,474
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
3,684
Downloads
5,117
Views
Citations
Bifurcations of Travelling Wave Solutions for the B(m,n) Equation
(Articles)
Minzhi Wei
,
Yujian Gan
,
Shengqiang Tang
American Journal of Computational Mathematics
Vol.4 No.2
，March 25, 2014
DOI:
10.4236/ajcm.2014.42010
3,228
Downloads
4,598
Views
Citations
Effect of Point Source, Self-Reinforcement and Heterogeneity on the Propagation of Magnetoelastic Shear Wave
(Articles)
Amares Chattopadhyay
,
Shishir Gupta
,
Abhishek K. Singh
,
Sanjeev A. Sahu
Applied Mathematics
Vol.2 No.3
，March 24, 2011
DOI:
10.4236/am.2011.23032
4,975
Downloads
9,410
Views
Citations
Integral Means of Univalent Solution for Fractional Differential Equation
(Articles)
Rabha W. Ibrahim
,
Maslina Darus
Applied Mathematics
Vol.3 No.6
，June 26, 2012
DOI:
10.4236/am.2012.36091
3,387
Downloads
5,644
Views
Citations
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