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A generalized quasi-boundary value method for the backward nonlinear time-fractional diffusion problem in a cylinder
  • Mian Liu,
  • Hao Cheng
Mian Liu
Jiangnan University

Corresponding Author:819340002@qq.com

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Hao Cheng
Jiangnan University
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Abstract

In this paper, a backward problem for a nonlinear time-fractional diffusion equation in an axis-symmetric cylinder has been considered. Under some assumptions, we prove the existence and uniqueness of the solution to the nonlinear problem. The ill-posedness of the backward problem is established and we obtain the error estimates by a generalized quasi-boundary value regularization method.
06 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
06 Apr 2022Submission Checks Completed
06 Apr 2022Assigned to Editor
10 Apr 2022Reviewer(s) Assigned
26 Jun 2022Review(s) Completed, Editorial Evaluation Pending
08 Jul 2022Editorial Decision: Revise Minor
19 Jul 20221st Revision Received
21 Jul 2022Submission Checks Completed
21 Jul 2022Assigned to Editor
23 Jul 2022Reviewer(s) Assigned
23 Jul 2022Review(s) Completed, Editorial Evaluation Pending
24 Jul 2022Editorial Decision: Accept