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Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus
(Articles)
Tohru Morita
,
Ken-ichi Sato
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63015
3,777
Downloads
6,727
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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
4,992
Downloads
6,535
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Solvability of Nonlinear Sequential Fractional Dynamical Systems with Damping
(Articles)
Cuie Xiao
,
Xiuwen Li
Journal of Applied Mathematics and Physics
Vol.5 No.2
,February 15, 2017
DOI:
10.4236/jamp.2017.52027
902
Downloads
1,868
Views
Citations
Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem
(Articles)
Rodica Luca
,
Alexandru Tudorache
Open Journal of Applied Sciences
Vol.9 No.10
,October 17, 2019
DOI:
10.4236/ojapps.2019.910061
703
Downloads
1,727
Views
Citations
Existence and Uniqueness of Solution to Two-Point Boundary Value for Two-Sided Fractional Differential Equations
(Articles)
Ailing Shi
,
Yu Bai
Applied Mathematics
Vol.4 No.6
,June 14, 2013
DOI:
10.4236/am.2013.46127
5,113
Downloads
7,673
Views
Citations
New Stability Tests of Positive Standard and Fractional Linear Systems
(Articles)
Tadeusz Kaczorek
Circuits and Systems
Vol.2 No.4
,October 24, 2011
DOI:
10.4236/cs.2011.24036
4,951
Downloads
9,128
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
4,184
Downloads
5,535
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
136
Downloads
645
Views
Citations
Existence of Solutions for Some
p
(
x
)-polyharmonic Elliptic Kirchhoff Equations
(Articles)
Yijian Ge
Advances in Pure Mathematics
Vol.9 No.10
,October 21, 2019
DOI:
10.4236/apm.2019.910043
674
Downloads
1,330
Views
Citations
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces
(Articles)
Xiaoping Xu
,
Guangxian Wu
,
Qixiang Dong
Advances in Pure Mathematics
Vol.5 No.14
,December 7, 2015
DOI:
10.4236/apm.2015.514075
4,598
Downloads
5,588
Views
Citations
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation
(Articles)
Rui Li
,
Wei Jiang
,
Jiale Sheng
,
Sen Wang
Applied Mathematics
Vol.11 No.10
,October 28, 2020
DOI:
10.4236/am.2020.1110069
510
Downloads
1,574
Views
Citations
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
(Articles)
Zhimin Zhao
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.3 No.5
,May 11, 2015
DOI:
10.4236/jamp.2015.35059
3,404
Downloads
4,746
Views
Citations
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
1,946
Downloads
3,712
Views
Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
(Articles)
Muhammad Younis
Applied Mathematics
Vol.5 No.13
,July 10, 2014
DOI:
10.4236/am.2014.513186
4,701
Downloads
7,093
Views
Citations
Moore-Penrose Inverse and Semilinear Equations
(Articles)
Hugo Leiva
,
Raúl Manzanilla
Advances in Linear Algebra & Matrix Theory
Vol.8 No.1
,January 17, 2018
DOI:
10.4236/alamt.2018.81002
917
Downloads
2,053
Views
Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38136
5,299
Downloads
8,691
Views
Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method
(Articles)
Nilay Akgonullu Pirim
,
Fatma Ayaz
Applied Mathematics
Vol.7 No.18
,December 12, 2016
DOI:
10.4236/am.2016.718182
6,259
Downloads
7,908
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and its Application
Existence of Solutions of Three-Dimensional Fractional Differential Systems
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
,
Muthusamy Deepa
Applied Mathematics
Vol.8 No.2
,February 27, 2017
DOI:
10.4236/am.2017.82016
1,673
Downloads
2,959
Views
Citations
Finite Element Approach for the Solution of First-Order Differential Equations
(Articles)
André Schmidt
,
Horst R. Beyer
,
Matthias Hinze
,
Evangelos N. Vandoros
Journal of Applied Mathematics and Physics
Vol.8 No.10
,October 15, 2020
DOI:
10.4236/jamp.2020.810155
557
Downloads
2,380
Views
Citations
This article belongs to the Special Issue on
Differential Equations and Its Applications
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
1,033
Downloads
3,730
Views
Citations
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