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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
1,092
Downloads
2,457
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
1,448
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
535
Downloads
1,405
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
138
Downloads
559
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
277
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
84
Downloads
353
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
787
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
113
Downloads
554
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
137
Downloads
646
Views
Citations
Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative
(Articles)
Xuefan Lin
,
Weimin Hu
,
Youhui Su
,
Yongzhen Yun
Journal of Applied Mathematics and Physics
Vol.11 No.12
,December 26, 2023
DOI:
10.4236/jamp.2023.1112249
76
Downloads
294
Views
Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with
L
1
-Data
(Articles)
Safimba Soma
,
Mohamed Bance
Journal of Applied Mathematics and Physics
Vol.11 No.12
,December 29, 2023
DOI:
10.4236/jamp.2023.1112261
81
Downloads
261
Views
Citations
The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation
(Articles)
Qiuyan Jin
,
Tiecheng Xia
,
Jinbo Wang
Journal of Applied Mathematics and Physics
Vol.5 No.4
,April 28, 2017
DOI:
10.4236/jamp.2017.54074
1,448
Downloads
2,516
Views
Citations
Modified Tikhonov Method for Cauchy Problem of Elliptic Equation with Variable Coefficients
(Articles)
Hongwu Zhang
American Journal of Computational Mathematics
Vol.4 No.3
,June 3, 2014
DOI:
10.4236/ajcm.2014.43018
3,131
Downloads
4,293
Views
Citations
High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids
(Articles)
Bin Lan
,
Yongbin Ge
,
Yan Wang
,
Yong Zhan
Journal of Applied Mathematics and Physics
Vol.3 No.5
,May 19, 2015
DOI:
10.4236/jamp.2015.35063
3,142
Downloads
3,992
Views
Citations
Filtering Function Method for the Cauchy Problem of a Semi-Linear Elliptic Equation
(Articles)
Hongwu Zhang
,
Xiaoju Zhang
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 17, 2015
DOI:
10.4236/jamp.2015.312184
6,291
Downloads
7,135
Views
Citations
Jacobi Elliptic Function Expansion Method for the Nonlinear Vakhnenko Equation
(Articles)
Chunhuan Xiang
,
Honglei Wang
Journal of Applied Mathematics and Physics
Vol.8 No.5
,April 30, 2020
DOI:
10.4236/jamp.2020.85061
493
Downloads
1,287
Views
Citations
Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R
3
(Articles)
Ting Xiao
,
Canlin Gan
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.8 No.8
,August 20, 2020
DOI:
10.4236/jamp.2020.88120
533
Downloads
967
Views
Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
,October 31, 2013
DOI:
10.4236/am.2013.411A1003
4,876
Downloads
7,060
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
,October 31, 2013
DOI:
10.4236/am.2013.411A1005
5,012
Downloads
7,836
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.5 No.8
,May 8, 2014
DOI:
10.4236/am.2014.58115
4,809
Downloads
6,462
Views
Citations
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