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DOI
Author
Journal
Affiliation
ISSN
Subject
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
8,148
Downloads
12,737
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
1,266
Downloads
2,611
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
5,066
Downloads
6,565
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
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
2,212
Downloads
5,218
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
6,418
Downloads
10,535
Views
Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,881
Downloads
6,647
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
3,775
Downloads
4,876
Views
Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations
(Articles)
Ali Davari
,
Abozar Ahmadi
Applied Mathematics
Vol.4 No.12
,December 3, 2013
DOI:
10.4236/am.2013.412224
5,609
Downloads
8,989
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
387
Downloads
1,230
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
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
883
Downloads
2,016
Views
Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations
(Articles)
Umme Ruman
,
Md. Shafiqul Islam
Journal of Applied Mathematics and Physics
Vol.12 No.9
,September 27, 2024
DOI:
10.4236/jamp.2024.129190
23
Downloads
119
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
1,005
Downloads
1,988
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
10,105
Downloads
15,281
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
4,234
Downloads
5,632
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
169
Downloads
776
Views
Citations
A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations
(Articles)
Xiaoxue Lu
,
Chunhua Zhang
,
Huiling Xue
,
Bowen Zhong
Journal of Applied Mathematics and Physics
Vol.12 No.9
,September 10, 2024
DOI:
10.4236/jamp.2024.129183
36
Downloads
210
Views
Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative
(Articles)
Yanping Zheng
,
Wenxia Wang
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A002
3,645
Downloads
6,234
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
2,020
Downloads
3,844
Views
Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two
(Articles)
Zainidin Eshkuvatov
,
Davron Khayrullaev
,
Muzaffar Nurillaev
,
Shalela Mohd Mahali
,
Anvar Narzullaev
Journal of Applied Mathematics and Physics
Vol.11 No.1
,January 17, 2023
DOI:
10.4236/jamp.2023.111005
124
Downloads
571
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
5,902
Downloads
11,359
Views
Citations
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