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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
93
Downloads
408
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
3,732
Downloads
4,808
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
1,036
Downloads
3,745
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
2,153
Downloads
5,263
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
5,823
Downloads
11,317
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
1,219
Downloads
2,729
Views
Citations
Fractional Optical Solitons and Fractional Noether’s Theorem with Ortigueira’s Centered Derivatives
(Articles)
Jorge Fujioka
,
Manuel Velasco
,
Argel Ramírez
Applied Mathematics
Vol.7 No.12
,July 26, 2016
DOI:
10.4236/am.2016.712118
1,594
Downloads
2,399
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
9,794
Downloads
15,968
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
6,296
Downloads
10,504
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
4,290
Downloads
6,409
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
4,993
Downloads
6,542
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
943
Downloads
2,134
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
332
Downloads
1,143
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
3,057
Downloads
4,347
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
8,051
Downloads
13,278
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
4,186
Downloads
5,542
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
3,999
Downloads
5,295
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
843
Downloads
1,874
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
137
Downloads
649
Views
Citations
Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform
(Articles)
Amir Khan
,
Gul Zaman
,
Saeed Ahmad
,
M. Ikhlaq Chohan
American Journal of Computational Mathematics
Vol.7 No.4
,November 2, 2017
DOI:
10.4236/ajcm.2017.74029
918
Downloads
1,823
Views
Citations
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