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Green Function of Generalized Time Fractional Diffusion Equation Using Addition Formula of Mittag-Leffler Function
(Articles)
Fang Wang
,
Jinmeng Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.9
,September 23, 2022
DOI:
10.4236/jamp.2022.109182
106
Downloads
421
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
3,481
Downloads
5,140
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
825
Downloads
1,621
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
608
Downloads
1,183
Views
Citations
A Compact Finite Volume Scheme for the Multi-Term Time Fractional Sub-Diffusion Equation
(Articles)
Baojin Su
,
Yanan Wang
,
Jingwen Qi
,
Yousen Li
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 27, 2022
DOI:
10.4236/jamp.2022.1010210
94
Downloads
414
Views
Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29150
6,487
Downloads
11,574
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mohammad Danesh
,
Mehdi Safari
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
7,172
Downloads
14,891
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
356
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
2,463
Views
Citations
Minimal Generalized Time-Bandwidth Product Method for Estimating the Optimum Fractional Fourier Order
(Articles)
Lin Tian
,
Zhenming Peng
Journal of Computer and Communications
Vol.3 No.3
,March 17, 2015
DOI:
10.4236/jcc.2015.33002
2,518
Downloads
3,090
Views
Citations
Fractional Order Two Temperature Thermo-Elastic Behavior of Piezoelectric Materials
(Articles)
Essam Bassiouny
,
Refaat Sabry
Journal of Applied Mathematics and Physics
Vol.1 No.5
,November 12, 2013
DOI:
10.4236/jamp.2013.15017
4,133
Downloads
7,078
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
283
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
559
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
654
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
82
Downloads
270
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
961
Downloads
1,997
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
1,315
Downloads
2,370
Views
Citations
Unbiased Diffusion to Escape through Small Windows: Assessing the Applicability of the Reduction to Effective One-Dimension Description in a Spherical Cavity
(Articles)
Marco-Vinicio Vazquez
,
Leonardo Dagdug
Journal of Modern Physics
Vol.2 No.4
,April 22, 2011
DOI:
10.4236/jmp.2011.24037
5,215
Downloads
9,458
Views
Citations
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
3,825
Downloads
6,434
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
3,687
Downloads
5,370
Views
Citations
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