Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions

Applicable Analysis ◽

10.1080/00036811.2021.1965583 ◽

2021 ◽

pp. 1-15

Author(s):

William Rundell ◽

Masahiro Yamamoto

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Coefficient Problem ◽

Inverse Coefficient Problem ◽

One Dimensional ◽

Time Fractional Diffusion Equation ◽

Inverse Coefficient

Local stability for an inverse coefficient problem of a fractional diffusion equation

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-014-0833-0 ◽

2014 ◽

Vol 35 (3) ◽

pp. 429-446 ◽

Cited By ~ 4

Author(s):

Caixuan Ren ◽

Xiang Xu

Keyword(s):

Diffusion Equation ◽

Local Stability ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Coefficient Problem ◽

Inverse Coefficient Problem ◽

Inverse Coefficient

An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2661 ◽

2012 ◽

Vol 36 (9) ◽

pp. 1056-1069 ◽

Cited By ~ 51

Author(s):

Mokhtar Kirane ◽

Salman A. Malik ◽

Mohammed A. Al-Gwaiz

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Two Dimensional ◽

Time Fractional Diffusion Equation

An inverse source problem for a one-dimensional space–time fractional diffusion equation

Applicable Analysis ◽

10.1080/00036811.2014.979808 ◽

2014 ◽

Vol 94 (11) ◽

pp. 2233-2244 ◽

Cited By ~ 38

Author(s):

Salih Tatar ◽

Süleyman Ulusoy

Keyword(s):

Diffusion Equation ◽

Dimensional Space ◽

Fractional Diffusion ◽

Space Time ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

One Dimensional ◽

Dimensional Space Time ◽

Time Fractional Diffusion Equation

A Compact Difference Scheme for Time Fractional Diffusion Equation with Neumann Boundary Conditions

AsiaSim 2012 - Communications in Computer and Information Science ◽

10.1007/978-3-642-34384-1_33 ◽

2012 ◽

pp. 273-284 ◽

Cited By ~ 2

Author(s):

Jianfei Huang ◽

Yifa Tang ◽

Wenjia Wang ◽

Jiye Yang

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Neumann Boundary ◽

Fractional Diffusion ◽

Neumann Boundary Conditions ◽

Fractional Diffusion Equation ◽

Compact Difference Scheme ◽

Compact Difference ◽

Time Fractional Diffusion Equation

High-Order Local Artificial Boundary Conditions for the Fractional Diffusion Equation on One-Dimensional Unbounded Domain

Journal of Mathematical Study ◽

10.4208/jms.v50n1.17.03 ◽

2017 ◽

Vol 50 (1) ◽

pp. 28-53 ◽

Cited By ~ 3

Author(s):

Wei Zhang

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Unbounded Domain ◽

Fractional Diffusion ◽

High Order ◽

Fractional Diffusion Equation ◽

Artificial Boundary ◽

One Dimensional ◽

Artificial Boundary Conditions

Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1235776 ◽

2020 ◽

Vol 52 (1) ◽

pp. 967-1005

Author(s):

Atsushi Kawamoto ◽

Manabu Machida

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Lipschitz Stability ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Time Fractional Diffusion Equation ◽

Inverse Coefficient

Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation

10.1063/1.5028041 ◽

2018 ◽

Author(s):

Salah Abuasad ◽

Ishak Hashim

Keyword(s):

Diffusion Equation ◽

Decomposition Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

One Dimensional ◽

Homotopy Decomposition ◽

Time Fractional Diffusion Equation

Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-021-00434-7 ◽

2021 ◽

Vol 13 (1) ◽

Author(s):

Muhammad Ali ◽

Sara Aziz ◽

Salman A. Malik

Keyword(s):

Inverse Problem ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Operational Calculus ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Space Time ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab

Mathematical and Computational Approaches in Advancing Modern Science and Engineering ◽

10.1007/978-3-319-30379-6_2 ◽

2016 ◽

pp. 15-25 ◽

Cited By ~ 1

Author(s):

Iftikhar Ali ◽

Nadeem A. Malik ◽

Bilal Chanane

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Fractional Diffusion ◽

Absorbing Boundary Conditions ◽

Fractional Diffusion Equation ◽

Absorbing Boundary ◽

Time Fractional Diffusion Equation

Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.12.020 ◽

2016 ◽

Vol 40 (7-8) ◽

pp. 4891-4899 ◽

Cited By ~ 25

Author(s):

Mansur I. Ismailov ◽

Muhammed Çiçek

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Time Fractional Diffusion Equation