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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
1,968
Downloads
3,679
Views
Citations
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
962
Downloads
1,998
Views
Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
(Articles)
Thilagarajah Mathanaranjan
,
Dayalini Vijayakumar
Journal of Applied Mathematics and Physics
Vol.9 No.2
,February 25, 2021
DOI:
10.4236/jamp.2021.92019
429
Downloads
1,143
Views
Citations
Multiple Solutions for a Class of Variable-Order Fractional Laplacian Equations with Concave-Convex Nonlinearity
(Articles)
Canlin Gan
,
Ting Xiao
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.3
,March 22, 2022
DOI:
10.4236/jamp.2022.103057
96
Downloads
443
Views
Citations
Computational Analysis for Solving the Linear Space-Fractional Telegraph Equation
(Articles)
Zaki Mrzog Alaofi
,
Talaat Sayed El-Danaf
,
Adel Hadhoud
,
Silvestru Sever Dragomir
Open Journal of Modelling and Simulation
Vol.10 No.3
,June 9, 2022
DOI:
10.4236/ojmsi.2022.103014
142
Downloads
651
Views
Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
(Articles)
Orkun Tasbozan
,
Alaattin Esen
,
Nuri Murat Yagmurlu
Open Journal of Applied Sciences
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/ojapps.2012.23029
7,355
Downloads
20,809
Views
Citations
Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional
q
-Difference Equation
(Articles)
Liu Yang
Applied Mathematics
Vol.4 No.10
,October 14, 2013
DOI:
10.4236/am.2013.410195
6,160
Downloads
13,966
Views
Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language
(Articles)
Mohamed A. Abdoon
American Journal of Computational Mathematics
Vol.5 No.2
,June 10, 2015
DOI:
10.4236/ajcm.2015.52011
6,088
Downloads
7,063
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
4,605
Downloads
5,537
Views
Citations
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
(Articles)
Mahmoud N. Sherif
Applied Mathematics
Vol.7 No.6
,March 24, 2016
DOI:
10.4236/am.2016.76048
3,158
Downloads
5,335
Views
Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations
(Articles)
Mohamed Z. Mohamed
,
Tarig M. Elzaki
Applied Mathematics
Vol.9 No.4
,April 30, 2018
DOI:
10.4236/am.2018.94032
1,659
Downloads
3,914
Views
Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
,June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,093
Downloads
2,465
Views
Citations
The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with Nonlinear Memory
(Articles)
Yaning Li
,
Quanguo Zhang
Journal of Applied Mathematics and Physics
Vol.6 No.7
,July 10, 2018
DOI:
10.4236/jamp.2018.67118
880
Downloads
1,452
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
542
Downloads
1,429
Views
Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
(Articles)
Kelei Zhang
,
Zhenfeng Zhang
,
Tao Yuwen
Advances in Pure Mathematics
Vol.12 No.7
,July 28, 2022
DOI:
10.4236/apm.2022.127035
139
Downloads
574
Views
Citations
Stability of Perfectly Matched Layers for Time Fractional Schrödinger Equation
(Articles)
Tingting Zhang
,
Xiangkun Li
Engineering
Vol.15 No.1
,January 30, 2023
DOI:
10.4236/eng.2023.151001
76
Downloads
284
Views
Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation
(Articles)
Yuting Zhong
,
Renzhi Lu
,
Heng Su
Advances in Pure Mathematics
Vol.13 No.3
,March 17, 2023
DOI:
10.4236/apm.2023.133009
85
Downloads
358
Views
Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation
(Articles)
Mohamed Elbadri
Applied Mathematics
Vol.14 No.3
,March 31, 2023
DOI:
10.4236/am.2023.143014
150
Downloads
800
Views
Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple
(Articles)
Fayza Alwehebi
,
Aatef Hobiny
,
Dalal Maturi
Applied Mathematics
Vol.14 No.5
,May 31, 2023
DOI:
10.4236/am.2023.145020
114
Downloads
562
Views
Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple
(Articles)
Fayza Alwehebi
,
Aatef Hobiny
,
Dalal Maturi
Applied Mathematics
Vol.14 No.5
,May 31, 2023
DOI:
10.4236/am.2023.145021
139
Downloads
656
Views
Citations
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