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ISSN
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Numerical Solution of the Rotating Shallow Water Flows with Topography Using the Fractional Steps Method
(Articles)
Hossam S. Hassan
,
Khaled T. Ramadan
,
Sarwat N. Hanna
Applied Mathematics
Vol.1 No.2
,July 22, 2010
DOI:
10.4236/am.2010.12014
6,158
Downloads
11,654
Views
Citations
The Theory and Application of Upwind Finite Difference Fractional Steps Procedure for Seawater Intrusion
(Articles)
Yirang Yuan
,
Hongxing Rui
,
Dong Liang
,
Changfeng Li
International Journal of Geosciences
Vol.3 No.5A
,October 31, 2012
DOI:
10.4236/ijg.2012.325098
3,419
Downloads
5,642
Views
Citations
This article belongs to the Special Issue on
Advances in Mathematical and Computational Geosciences
Differential Transform Method for Some Delay Differential Equations
(Articles)
Baoqing Liu
,
Xiaojian Zhou
,
Qikui Du
Applied Mathematics
Vol.6 No.3
,March 24, 2015
DOI:
10.4236/am.2015.63053
4,370
Downloads
6,175
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
6,023
Downloads
10,520
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
6,632
Downloads
13,726
Views
Citations
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
2,216
Downloads
2,828
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control
(Articles)
Zhanhong Liang
,
Jinfeng Gao
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.3
,September 27, 2016
DOI:
10.4236/ijmnta.2016.53013
1,296
Downloads
1,829
Views
Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations
(Articles)
Peng Guo
Journal of Applied Mathematics and Physics
Vol.7 No.10
,October 24, 2019
DOI:
10.4236/jamp.2019.710166
264
Downloads
601
Views
Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
,June 13, 2018
DOI:
10.4236/ajcm.2018.82010
672
Downloads
1,198
Views
Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation
(Articles)
N. H. Sweilam
,
M. M. Khader
,
M. Adel
Applied Mathematics
Vol.5 No.19
,November 18, 2014
DOI:
10.4236/am.2014.519301
4,579
Downloads
5,424
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Approximate Technique for Solving Class of Fractional Variational Problems
(Articles)
Emad M. Solouma
,
Mohamed M. Khader
Applied Mathematics
Vol.6 No.5
,May 19, 2015
DOI:
10.4236/am.2015.65078
3,477
Downloads
4,099
Views
Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation
(Articles)
Peng Zhu
,
Shenglan Xie
American Journal of Computational Mathematics
Vol.6 No.4
,December 21, 2016
DOI:
10.4236/ajcm.2016.64034
1,631
Downloads
2,891
Views
Citations
Numerical Solution of Fractional Differential Equations
(Articles)
Adnan Daraghmeh
,
Naji Qatanani
,
Aya Saadeh
Applied Mathematics
Vol.11 No.11
,November 13, 2020
DOI:
10.4236/am.2020.1111074
158
Downloads
427
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
5,458
Downloads
9,430
Views
Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
(Articles)
Muhammad Younis
Applied Mathematics
Vol.5 No.13
,July 10, 2014
DOI:
10.4236/am.2014.513186
4,102
Downloads
5,606
Views
Citations
The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method
(Articles)
Xiaohua Liu
Journal of Applied Mathematics and Physics
Vol.6 No.10
,October 10, 2018
DOI:
10.4236/jamp.2018.610167
558
Downloads
956
Views
Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
(Articles)
Thilagarajah Mathanaranjan
,
Dayalini Vijayakumar
Journal of Applied Mathematics and Physics
Vol.9 No.2
,February 25, 2021
DOI:
10.4236/jamp.2021.92019
49
Downloads
107
Views
Citations
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium
(Articles)
Ahmed M. A. El-Sayed
,
Saad Z. Rida
,
Anas A. M. Arafa
Applied Mathematics
Vol.2 No.12
,December 27, 2011
DOI:
10.4236/am.2011.212214
4,613
Downloads
7,473
Views
Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38136
4,997
Downloads
7,768
Views
Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
(Articles)
Orkun Tasbozan
,
Alaattin Esen
,
Nuri Murat Yagmurlu
Open Journal of Applied Sciences
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/ojapps.2012.23029
6,835
Downloads
19,795
Views
Citations
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