Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates

Inverse Problems & Imaging ◽

10.3934/ipi.2021040 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Xinchi Huang ◽

Atsushi Kawamoto

Keyword(s):

Inverse Problems ◽

Diffusion Equation ◽

Arbitrary Dimension ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Carleman Estimates ◽

Time Fractional Diffusion Equation

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Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2009.028 ◽

2009 ◽

Vol 17 (5) ◽

Author(s):

A. N. Bondarenko ◽

D. S. Ivaschenko

Keyword(s):

Numerical Methods ◽

Inverse Problems ◽

Diffusion Equation ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Some inverse problems for time‐fractional diffusion equation with nonlocal Samarskii‐Ionkin type condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6330 ◽

2020 ◽

Author(s):

Muhammad Ali ◽

Sara Aziz

Keyword(s):

Inverse Problems ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Type Condition ◽

Time Fractional Diffusion Equation

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Inverse problems for a time fractional diffusion equation in the Schwartz‐type distributions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5894 ◽

2019 ◽

Vol 44 (3) ◽

pp. 2381-2392

Author(s):

Halyna Lopushanska ◽

Andriy Lopushansky

Keyword(s):

Inverse Problems ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Inverse problems for a perturbed time fractional diffusion equation with final overdetermination

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4719 ◽

2017 ◽

Vol 41 (5) ◽

pp. 1925-1943 ◽

Author(s):

Nataliia Kinash ◽

Jaan Janno

Keyword(s):

Inverse Problems ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Inverse problems for heat equation and space–time fractional diffusion equation with one measurement

Journal of Differential Equations ◽

10.1016/j.jde.2020.05.022 ◽

2020 ◽

Vol 269 (9) ◽

pp. 7498-7528 ◽

Author(s):

Tapio Helin ◽

Matti Lassas ◽

Lauri Ylinen ◽

Zhidong Zhang

Keyword(s):

Inverse Problems ◽

Diffusion Equation ◽

Heat Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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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

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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 ◽

Fractional Diffusion Equation ◽

Variable Order ◽

Time Fractional Diffusion Equation

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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 ◽

Fractional Diffusion Equation ◽

Two Dimensional ◽

Dimensional Space Time ◽

Time Fractional Diffusion Equation

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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 ◽

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

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