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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
252
Downloads
1,045
Views
Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay
(Articles)
Anran Li
,
Qing Yang
Engineering
Vol.17 No.1
, January 21, 2025
DOI:
10.4236/eng.2025.171004
105
Downloads
654
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
3,701
Downloads
5,723
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
1,014
Downloads
2,246
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
781
Downloads
1,782
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
194
Downloads
988
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
6,823
Downloads
12,406
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
7,485
Downloads
15,711
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
218
Downloads
882
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
1,343
Downloads
3,292
Views
Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary
(Articles)
Ogugua N. Onyejekwe
Journal of Applied Mathematics and Physics
Vol.13 No.6
, June 25, 2025
DOI:
10.4236/jamp.2025.136116
75
Downloads
402
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
2,696
Downloads
3,679
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
4,409
Downloads
7,781
Views
Citations
Numerical Analysis of Approximate Solutions and Linear Growth in a Glial Cell Dynamics Model
(Articles)
Somayyeh Azizi
Journal of Applied Mathematics and Physics
Vol.13 No.12
, December 24, 2025
DOI:
10.4236/jamp.2025.1312248
95
Downloads
625
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
193
Downloads
752
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
277
Downloads
1,323
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
311
Downloads
1,528
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
262
Downloads
826
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
1,485
Downloads
2,998
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
1,136
Downloads
2,596
Views
Citations
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