The determination of an unknown boundary condition in a fractional diffusion equation

Applicable Analysis ◽

10.1080/00036811.2012.686605 ◽

2013 ◽

Vol 92 (7) ◽

pp. 1511-1526 ◽

Author(s):

William Rundell ◽

Xiang Xu ◽

Lihua Zuo

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Boundary

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Determination of Initial Distribution for a Space-Fractional Diffusion Equation with Time-Dependent Diffusivity

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-021-01118-7 ◽

2021 ◽

Author(s):

Tran Nhat Luan ◽

Tra Quoc Khanh

Keyword(s):

Diffusion Equation ◽

Initial Distribution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Space 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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The determination of the diffusion kernel on fractals and fractional diffusion equation for transport phenomena in random media

Physics Letters A ◽

10.1016/s0375-9601(98)00920-7 ◽

1999 ◽

Vol 252 (3-4) ◽

pp. 141-150 ◽

Author(s):

Fu-yao Ren ◽

Jin-rong Liang ◽

Xiao-Tian Wang

Keyword(s):

Diffusion Equation ◽

Random Media ◽

Transport Phenomena ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Diffusion Kernel

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Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data

Inverse Problems ◽

10.1088/1361-6420/abbc5d ◽

2020 ◽

Vol 36 (11) ◽

pp. 115013

Author(s):

Zhiyuan Li ◽

Zhidong Zhang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Boundary Data ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unique Determination

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Determination of the unknown source term in a space-fractional diffusion equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2016.1275611 ◽

2017 ◽

Vol 25 (11) ◽

pp. 1601-1617

Author(s):

Huan Liu ◽

Fangfang Dou

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.04.030 ◽

2015 ◽

Vol 70 (3) ◽

pp. 254-264 ◽

Author(s):

Liang Yan ◽

Fenglian Yang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Boundary ◽

Particular Solutions ◽

Local Boundary Condition ◽

Non Local ◽

Time Fractional Diffusion Equation

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Existence Results for Fractional Diffusion Equation with Dirichlet Boundary Condition

Indian Journal of Industrial and Applied Mathematics ◽

10.5958/1945-919x.2020.00001.8 ◽

2020 ◽

Vol 11 (1) ◽

pp. 1

Author(s):

R. Saranya ◽

A. Akilandeeswari ◽

N. Annapoorani

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Fractional Diffusion ◽

Existence Results ◽

Fractional Diffusion Equation

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Identifying an unknown time-dependent boundary source in time-fractional diffusion equation with a non-local boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.018 ◽

2019 ◽

Vol 355 ◽

pp. 36-50 ◽

Author(s):

Nazdar Abdollahi Asl ◽

Davood Rostamy

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Local Boundary ◽

Boundary Source ◽

Local Boundary Condition ◽

Non Local ◽

Time Fractional Diffusion Equation

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Time-fractional diffusion equation with dynamical boundary condition

Fractional Differential Calculus ◽

10.7153/fdc-06-11 ◽

2016 ◽

pp. 151-178 ◽

Author(s):

Mykola Krasnoschok

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Dynamical Boundary Condition ◽

Time Fractional Diffusion Equation

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A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem

Fractional Differential Calculus ◽

10.7153/fdc-06-09 ◽

2016 ◽

pp. 133-145 ◽

Author(s):

Halyna Lopushanska

Keyword(s):

Boundary Condition ◽

Inverse Problem ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Integral Boundary Condition ◽

Integral Boundary ◽

Time Fractional Diffusion Equation

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