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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
7,942
Downloads
12,013
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
5,357
Downloads
9,747
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
1,100
Downloads
1,748
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
748
Downloads
1,292
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
584
Downloads
948
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
7,000
Downloads
10,969
Views
Citations
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
5,624
Downloads
9,015
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
4,005
Downloads
5,585
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
4,594
Downloads
5,459
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
4,518
Downloads
5,367
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
4,746
Downloads
5,572
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
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
1,685
Downloads
3,156
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
632
Downloads
1,055
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
333
Downloads
548
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
106
Downloads
286
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
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
3,119
Downloads
4,786
Views
Citations
Fractionalization of a Class of Semi-Linear Differential Equations
(Articles)
Issic K. C. Leung
,
K. Gopalsamy
Applied Mathematics
Vol.8 No.11
，November 30, 2017
DOI:
10.4236/am.2017.811124
1,042
Downloads
1,838
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
294
Downloads
726
Views
Citations
Inequalities for the Polar Derivative of a Polynomial
(Articles)
Gulshan Singh
,
W. M. Shah
,
Yash Paul
Advances in Pure Mathematics
Vol.1 No.2
，March 30, 2011
DOI:
10.4236/apm.2011.12006
5,198
Downloads
11,967
Views
Citations
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