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Affiliation
ISSN
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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
4,997
Downloads
7,848
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
4,794
Downloads
6,690
Views
Citations
Natural Transform for Solving Fractional Models
(Articles)
Ahmed Safwat Abdel-Rady
,
Saad Zagloul Rida
,
Anas Ahmed Mohamed Arafa
,
Hamdy Ragab Abedl-Rahim
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 24, 2015
DOI:
10.4236/jamp.2015.312188
3,675
Downloads
5,427
Views
Citations
Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA
(Articles)
Shinji Hamada
,
Hideo Sekino
Journal of Quantum Information Science
Vol.6 No.4
,December 13, 2016
DOI:
10.4236/jqis.2016.64017
1,309
Downloads
2,377
Views
Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
(Articles)
M. Nurul Islam
,
M. Ali Akbar
Journal of Applied Mathematics and Physics
Vol.6 No.1
,January 11, 2018
DOI:
10.4236/jamp.2018.61009
1,062
Downloads
2,344
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
963
Downloads
2,039
Views
Citations
New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation
(Articles)
Zhiyun Zeng
,
Xiaohua Liu
,
Yin Zhu
,
Xue Huang
Journal of Applied Mathematics and Physics
Vol.10 No.2
,February 17, 2022
DOI:
10.4236/jamp.2022.102026
163
Downloads
675
Views
Citations
Existence and Uniqueness of Solution for a Fractional Order Integro-Differential Equation with Non-Local and Global Boundary Conditions
(Articles)
Mehran Fatemi
,
Nihan Aliev
,
Sedaghat Shahmorad
Applied Mathematics
Vol.2 No.10
,October 14, 2011
DOI:
10.4236/am.2011.210179
5,407
Downloads
10,751
Views
Citations
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
(Articles)
Ning Chen
,
Jiqian Chen
Applied Mathematics
Vol.3 No.12
,December 17, 2012
DOI:
10.4236/am.2012.312263
8,048
Downloads
11,037
Views
Citations
Existence Theorem for a Nonlinear Functional Integral Equation and an Initial Value Problem of Fractional Order in L
1
(R
+
)
(Articles)
Ibrahim Abouelfarag Ibrahim
,
Tarek S. Amer
,
Yasser M. Aboessa
Applied Mathematics
Vol.4 No.2
,February 28, 2013
DOI:
10.4236/am.2013.42060
4,623
Downloads
7,391
Views
Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity
(Articles)
Tianquan Yun
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A005
3,476
Downloads
5,368
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
3,806
Downloads
6,635
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
4,188
Downloads
5,551
Views
Citations
Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation
(Articles)
Beiping Duan
,
Zhoushun Zheng
,
Wen Cao
American Journal of Computational Mathematics
Vol.5 No.2
,June 10, 2015
DOI:
10.4236/ajcm.2015.52012
3,679
Downloads
5,600
Views
Citations
On the Strongly Damped Wave Equations with Critical Nonlinearities
(Articles)
Qinghua Zhang
Journal of Applied Mathematics and Physics
Vol.4 No.4
,April 26, 2016
DOI:
10.4236/jamp.2016.44080
1,828
Downloads
2,516
Views
Citations
A Cauchy Problem for Some Fractional
q
-Difference Equations with Nonlocal Conditions
(Articles)
Maryam Al-Yami
American Journal of Computational Mathematics
Vol.6 No.2
,June 29, 2016
DOI:
10.4236/ajcm.2016.62017
1,905
Downloads
3,090
Views
Citations
On Existence of Solutions of
q
-Perturbed Quadratic Integral Equations
(Articles)
Maryam Al-Yami
American Journal of Computational Mathematics
Vol.6 No.2
,June 29, 2016
DOI:
10.4236/ajcm.2016.62018
1,867
Downloads
2,748
Views
Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials
(Articles)
Mushfika Hossain Nova
,
Hasib Uddin Molla
,
Sajeda Banu
American Journal of Computational Mathematics
Vol.7 No.4
,December 15, 2017
DOI:
10.4236/ajcm.2017.74034
967
Downloads
1,932
Views
Citations
Alternating Segment Explicit-Implicit and Implicit-Explicit Parallel Difference Method for Time Fractional Sub-Diffusion Equation
(Articles)
Lifei Wu
,
Yadi Zhao
,
Xiaozhong Yang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 28, 2018
DOI:
10.4236/jamp.2018.65089
815
Downloads
1,797
Views
Citations
A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations
(Articles)
Lifei Wu
,
Jiake Sun
,
Xiaozhong Yang
Journal of Applied Mathematics and Physics
Vol.8 No.1
,January 10, 2020
DOI:
10.4236/jamp.2020.81012
598
Downloads
1,279
Views
Citations
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