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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
9,873
Downloads
14,744
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
5,842
Downloads
11,134
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
2,441
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
2,166
Downloads
5,034
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
6,323
Downloads
10,249
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
6,319
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
5,016
Downloads
6,379
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
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
345
Downloads
1,081
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
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
8,089
Downloads
12,526
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
5,483
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
857
Downloads
1,838
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
144
Downloads
615
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
970
Downloads
1,860
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
1,373
Downloads
2,658
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
3,384
Downloads
5,375
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
1,059
Downloads
3,317
Views
Citations
Oscillation for a Class of Fractional Differential Equation
(Articles)
Qian Feng
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.7 No.7
,July 10, 2019
DOI:
10.4236/jamp.2019.77096
921
Downloads
1,823
Views
Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations
(Articles)
Xulong Wang
,
Siying Long
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 21, 2022
DOI:
10.4236/jamp.2022.1010203
96
Downloads
510
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
1,560
Downloads
2,665
Views
Citations
Fractional Calculus, Fractional Differential Equations and Applications
(Articles)
Mariam Almahdi Mohammed Mu’lla
Open Access Library Journal
Vol.7 No.6
,June 23, 2020
DOI:
10.4236/oalib.1106244
1,526
Downloads
5,879
Views
Citations
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