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On Time Fractional Diffusion Equation with Memory Term
Dynamic Systems and Applications
◽
10.46719/dsa20213015
◽
2021
◽
Vol 30
(1)
◽
Author(s):
Nguyen Duc Phuong
◽
Nguyen Anh Tuan
◽
Tran Thanh Binh
◽
Tran Ngoc Thach
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Memory Term
◽
Time Fractional Diffusion Equation
◽
With Memory
Download Full-text
Related Documents
Cited By
References
Blow-up solutions of a time-fractional diffusion equation with variable exponents
Tbilisi Mathematical Journal
◽
10.32513/tbilisi/1578020574
◽
2019
◽
Vol 12
(4)
◽
pp. 149-157
Author(s):
J. Manimaran
◽
L. Shangerganesh
Keyword(s):
Diffusion Equation
◽
Blow Up
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Variable Exponents
◽
Time Fractional Diffusion Equation
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On inverse source problem for time fractional diffusion equation on simple metric graph
Uzbek Mathematical Journal
◽
10.29229/uzmj.2020-2-10
◽
2020
◽
Vol 2020
(2)
◽
pp. 99-108
Author(s):
J.R. Khujakulov
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Inverse Source Problem
◽
Metric Graph
◽
Time Fractional Diffusion Equation
Download Full-text
An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
SIAM Journal on Numerical Analysis
◽
10.1137/20m132420x
◽
2020
◽
Vol 58
(5)
◽
pp. 2492-2514
Author(s):
Xiangcheng Zheng
◽
Hong Wang
Keyword(s):
Diffusion Equation
◽
Error Estimate
◽
Numerical Approximation
◽
Fractional Diffusion
◽
Space Time
◽
Fractional Diffusion Equation
◽
Variable Order
◽
Time Fractional Diffusion Equation
Download Full-text
Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media
Mathematical Sciences
◽
10.1007/s40096-020-00364-3
◽
2021
◽
Author(s):
B. Farnam
◽
Y. Esmaeelzade Aghdam
◽
O. Nikan
Keyword(s):
Porous Media
◽
Diffusion Equation
◽
Numerical Investigation
◽
Dimensional Space
◽
Fractional Diffusion
◽
Space Time
◽
Fractional Diffusion Equation
◽
Two Dimensional
◽
Dimensional Space Time
◽
Time Fractional Diffusion Equation
Download Full-text
Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition
Applied Mathematics and Computation
◽
10.1016/j.amc.2008.12.023
◽
2009
◽
Vol 208
(2)
◽
pp. 434-439
◽
Cited By ~ 33
Author(s):
Xicheng Li
◽
Mingyu Xu
◽
Xiaoyun Jiang
Keyword(s):
Boundary Condition
◽
Diffusion Equation
◽
Perturbation Method
◽
Homotopy Perturbation Method
◽
Moving Boundary
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Homotopy Perturbation
◽
Moving Boundary Condition
◽
Time Fractional Diffusion Equation
Download Full-text
Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation
Journal of Physics A Mathematical and Theoretical
◽
10.1088/1751-8121/aa763a
◽
2017
◽
Vol 50
(30)
◽
pp. 305203
◽
Cited By ~ 7
Author(s):
Yikan Liu
◽
Zhidong Zhang
Keyword(s):
Diffusion Equation
◽
Source Term
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Time Fractional Diffusion Equation
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Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
Advances in Difference Equations
◽
10.1186/s13662-020-2542-1
◽
2020
◽
Vol 2020
(1)
◽
Cited By ~ 8
Author(s):
Fan Yang
◽
Pan Zhang
◽
Xiao-Xiao Li
◽
Xin-Yi Ma
Keyword(s):
Diffusion Equation
◽
Tikhonov Regularization
◽
Regularization Method
◽
Symmetric Domain
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Tikhonov Regularization Method
◽
Time Fractional Diffusion Equation
Download Full-text
A Numerical Method for Solving the Inverse Source Problem of the Space-Time Fractional Diffusion Equation
Advances in Applied Mathematics
◽
10.12677/aam.2021.104108
◽
2021
◽
Vol 10
(04)
◽
pp. 996-1002
Author(s):
柔姿 段
Keyword(s):
Diffusion Equation
◽
Numerical Method
◽
Fractional Diffusion
◽
Space Time
◽
Fractional Diffusion Equation
◽
Inverse Source Problem
◽
Time Fractional Diffusion Equation
Download Full-text
A second-order scheme for a time-fractional diffusion equation
Applied Mathematics Letters
◽
10.1016/j.aml.2018.10.016
◽
2019
◽
Vol 90
◽
pp. 79-85
◽
Cited By ~ 3
Author(s):
Zhongdi Cen
◽
Jian Huang
◽
Anbo Le
◽
Aimin Xu
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
Second Order
◽
Fractional Diffusion Equation
◽
Order Scheme
◽
Time Fractional Diffusion Equation
Download Full-text
Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient
Journal of Computational and Theoretical Transport
◽
10.1080/23324309.2016.1263667
◽
2016
◽
Vol 46
(2)
◽
pp. 122-146
◽
Cited By ~ 5
Author(s):
Guangsheng Chi
◽
Gongsheng Li
◽
Chunlong Sun
◽
Xianzheng Jia
Keyword(s):
Diffusion Coefficient
◽
Diffusion Equation
◽
Numerical Solution
◽
Fractional Diffusion
◽
Space Time
◽
Fractional Diffusion Equation
◽
Time Fractional Diffusion Equation
◽
And Inversion
Download Full-text
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