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DOI
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Journal
Affiliation
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
6,497
Downloads
12,421
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
3,885
Downloads
6,591
Views
Citations
This article belongs to the Special Issue on
Advances in Mathematical and Computational Geosciences
Semilinear Fractional Elliptic Equation of Normal Solution
(Articles)
Tao Li
Open Access Library Journal
Vol.11 No.4
,March 29, 2024
DOI:
10.4236/oalib.1111412
15
Downloads
83
Views
Citations
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
4,867
Downloads
8,039
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
6,475
Downloads
11,702
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
7,160
Downloads
15,170
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
2,480
Downloads
3,516
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
1,582
Downloads
2,723
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
1,052
Downloads
3,818
Views
Citations
A Fractional Model for the Single Stokes Pulse from the Nonlinear Optics
(Articles)
Mihai Ivan
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 9, 2022
DOI:
10.4236/jamp.2022.1010191
73
Downloads
361
Views
Citations
This article belongs to the Special Issue on
Geometry and Physics
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
1,088
Downloads
2,610
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
5,005
Downloads
6,583
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
3,737
Downloads
4,829
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
1,958
Downloads
3,752
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
1,556
Downloads
7,980
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
6,307
Downloads
11,526
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
4,713
Downloads
7,132
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
861
Downloads
1,931
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
424
Downloads
1,303
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
4,904
Downloads
8,128
Views
Citations
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