Identification of a time-dependent source term for a time fractional diffusion problem

2016 ◽  
Vol 96 (10) ◽  
pp. 1638-1655 ◽  
Author(s):  
Zhousheng Ruan ◽  
Zewen Wang
Keyword(s):  
Source Term ◽  
Fractional Diffusion ◽  
Diffusion Problem ◽  
Time Dependent

scholarly journals Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation

2020 ◽  
Vol 14 (6) ◽  
pp. 1001-1024
Author(s):  
Chan Liu ◽  
◽  
Jin Wen ◽  
Zhidong Zhang ◽  
◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Source Term ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Time Dependent

scholarly journals Regularization for a Riesz-Feller space fractional backward diffusion problem with a time-dependent coefficient

2018 ◽  
Vol 1 (T5) ◽  
pp. 172-183
Author(s):  
Hai Nguyen Duy Dinh
Keyword(s):  
Diffusion Equation ◽  
A Priori ◽  
Fractional Diffusion ◽  
Diffusion Problem ◽  
Time Dependent ◽  
Convergence Estimate ◽  
Backward Problem ◽  
A Priori Bound ◽  
Space Fractional Diffusion Equation ◽  
Ill Posed

In the present paper, we consider a backward problem for a space-fractional diffusion equation (SFDE) with a time-dependent coefficient. Such the problem is obtained from the classical diffusion equation by replacing the second-order spatial derivative with the Riesz-Feller derivative of order α∈(0,2]. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. Therefore, we propose one new regularization solution to solve it. Then, the convergence estimate is obtained under a priori bound assumptions for exact solution.

Sign in / Sign up

Export Citation Format

Share Document