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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
3,266
Views
Citations
Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions
(Articles)
Zhenghui Gao
,
Liu Yang
,
Gang Liu
Applied Mathematics
Vol.4 No.6
,June 3, 2013
DOI:
10.4236/am.2013.46118
5,835
Downloads
11,108
Views
Citations
Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation
(Articles)
Mohamed El- Gamel
,
Mahmoud Abd-El-Hady
,
Magdy El-Azab
Applied Mathematics
Vol.8 No.12
,December 21, 2017
DOI:
10.4236/am.2017.812128
1,556
Downloads
2,647
Views
Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order
(Articles)
A. M. Kawala
Advances in Pure Mathematics
Vol.8 No.12
,December 19, 2018
DOI:
10.4236/apm.2018.812051
1,226
Downloads
2,425
Views
Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method
(Articles)
Yin Yang
Applied Mathematics
Vol.4 No.1
,January 28, 2013
DOI:
10.4236/am.2013.41020
8,070
Downloads
12,494
Views
Citations
Fractional Versions of the Fundamental Theorem of Calculus
(Articles)
Eliana Contharteze Grigoletto
,
Edmundo Capelas de Oliveira
Applied Mathematics
Vol.4 No.7A
,July 8, 2013
DOI:
10.4236/am.2013.47A006
9,841
Downloads
14,685
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations
(Articles)
Minjie Li
,
Yiliang Liu
Open Journal of Applied Sciences
Vol.3 No.1B1
,July 11, 2013
DOI:
10.4236/ojapps.2013.31B1011
6,312
Downloads
10,222
Views
Citations
Positive Solutions for Fractional Differential Equations with Multi-Point Boundary Value Problems
(Articles)
Lina Zhou
,
Weihua Jiang
Journal of Applied Mathematics and Physics
Vol.2 No.5
,April 24, 2014
DOI:
10.4236/jamp.2014.25014
4,295
Downloads
6,302
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
5,008
Downloads
6,350
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
RETRACTED:Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation
(Articles)
Amr M. S. Mahdy
,
Adel S. Mohamed
,
Ahmad A. H. Mtawa
Applied Mathematics
Vol.6 No.1
,January 14, 2015
DOI:
10.4236/am.2015.61014
4,918
Downloads
6,124
Views
Citations
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation
(Articles)
Amr M. S. Mahdy
,
Adel S. Mohamed
,
Ahmad A. H. Mtawa
Applied Mathematics
Vol.6 No.3
,March 24, 2015
DOI:
10.4236/am.2015.63056
5,345
Downloads
6,903
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
4,189
Downloads
5,463
Views
Citations
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
3,739
Downloads
4,729
Views
Citations
Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay
(Articles)
Yuping Cao
,
Chuanzhi Bai
Applied Mathematics
Vol.6 No.12
,November 25, 2015
DOI:
10.4236/am.2015.612181
4,005
Downloads
5,223
Views
Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
(Articles)
Yufeng Sun
,
Zheng Zeng
,
Jie Song
Applied Mathematics
Vol.8 No.3
,March 24, 2017
DOI:
10.4236/am.2017.83026
2,161
Downloads
4,998
Views
Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs
(Articles)
Mohamed Adel
,
Mohamed M. Khader
Applied Mathematics
Vol.8 No.12
,December 14, 2017
DOI:
10.4236/am.2017.812126
850
Downloads
1,810
Views
Citations
Fractional Difference Approximations for Time-Fractional Telegraph Equation
(Articles)
Ru Liu
Journal of Applied Mathematics and Physics
Vol.6 No.1
,January 31, 2018
DOI:
10.4236/jamp.2018.61029
957
Downloads
1,979
Views
Citations
Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative
(Articles)
Nan Yao
,
Zeyu Luo
Journal of Applied Mathematics and Physics
Vol.7 No.5
,May 23, 2019
DOI:
10.4236/jamp.2019.75072
499
Downloads
1,053
Views
Citations
Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative
(Articles)
Ann Al Sawoor
,
Miloud Sadkane
Applied Mathematics
Vol.11 No.12
,December 9, 2020
DOI:
10.4236/am.2020.1112084
340
Downloads
1,064
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
Local Discontinuous Galerkin Method for the Time-Fractional KdV Equation with the Caputo-Fabrizio Fractional Derivative
(Articles)
Huanhuan Wang
,
Xiaoyan Xu
,
Junmei Dou
,
Ting Zhang
,
Leilei Wei
Journal of Applied Mathematics and Physics
Vol.10 No.6
,June 24, 2022
DOI:
10.4236/jamp.2022.106132
140
Downloads
585
Views
Citations
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