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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
5,017
Downloads
6,387
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
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
962
Downloads
1,998
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
4,198
Downloads
5,491
Views
Citations
Explicit Approximation Solutions and Proof of Convergence of the Space-Time Fractional Advection Dispersion Equations
(Articles)
E. A. Abdel-Rehim
Applied Mathematics
Vol.4 No.10
,October 14, 2013
DOI:
10.4236/am.2013.410193
3,385
Downloads
5,384
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
1,060
Downloads
3,334
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
2,169
Downloads
5,047
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
5,845
Downloads
11,149
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
1,228
Downloads
2,447
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
9,879
Downloads
14,760
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
6,325
Downloads
10,255
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
4,300
Downloads
6,323
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
3,745
Downloads
4,755
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
351
Downloads
1,097
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
Discrete Chaos in Fractional Henon Map
(Articles)
Tongchun Hu
Applied Mathematics
Vol.5 No.15
,August 8, 2014
DOI:
10.4236/am.2014.515218
4,334
Downloads
5,453
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
8,094
Downloads
12,541
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
4,012
Downloads
5,252
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
858
Downloads
1,844
Views
Citations
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
145
Downloads
625
Views
Citations
Conformable and Caputo’s Derivatives in Generalized Viscoelastic Models
(Articles)
Jorge Fujioka
,
Rosalío Fernando Rodríguez
,
Áurea Espinosa-Cerón
Applied Mathematics
Vol.14 No.9
,September 15, 2023
DOI:
10.4236/am.2023.149035
101
Downloads
392
Views
Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative
(Articles)
Wenwen Sun
,
Jinliang Wang
Applied Mathematics
Vol.9 No.9
,September 27, 2018
DOI:
10.4236/am.2018.99072
971
Downloads
1,867
Views
Citations
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