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A 2D diffusion coefficient determination problem for the time-fractional equation
  • Askar Rahmonov,
  • D. K. Durdiev,
  • Zavqiddin Bozorov
Askar Rahmonov
Bukhara State University

Corresponding Author:araxmonov@mail.ru

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D. K. Durdiev
Bukhara Branch of the Institute of Mathematics at the Academy of Sciences of the Republic of Uzbekistan, Bukhara, Uzbekistan
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Zavqiddin Bozorov
Bukhara State University
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Abstract

In this paper, we consider two dimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation the contracted mapping principle is applied. The local existence and global uniqueness results are proven. Also the stability estimate is obtained.

Peer review status:ACCEPTED

23 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
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24 Dec 2020Submission Checks Completed
24 Dec 2020Assigned to Editor
28 Dec 2020Reviewer(s) Assigned
29 Mar 2021Review(s) Completed, Editorial Evaluation Pending
30 Mar 2021Editorial Decision: Revise Minor
02 Apr 20211st Revision Received
02 Apr 2021Submission Checks Completed
02 Apr 2021Assigned to Editor
02 Apr 2021Editorial Decision: Accept