[Turkmath:6695] Seminar "Analysis and Applied Mathematics"

[Allaberen Ashyralyev]

Dear All,
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on
*Date*: Tuesday, November 12, 2024
*Time:* 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 16.00-17.00 (Almaty)
*Place:* Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

*Speaker: *Prof. Dr. Ravshan R. Ashurov
Institute of Mathematics of the Academy of Sciences of Uzbekistan,
Uzbekistan

*Title: *New formulation of the inverse problem of determining the order of
fractional derivatives in partial differential equations

*Abstract:*  : Determining the unknown order of a fractional derivative in
differential equations modeling various processes is an important problem
of modern applied mathematics. It is often difficult to determine the order
of a fractional derivative directly, since there is no available measuring
device. In such cases, it is necessary to solve the inverse problem, which
consists in determining this parameter using indirectly observed
information about the solutions. In the last decade, this problem has been
actively studied by many specialists. A number of interesting results have
been obtained that have a certain applied significance. Analyzing the known
results, we can conclude that in all these works, firstly, only the
subdiffusion equation was considered and, secondly, the authors managed to
prove only the uniqueness of the solution to the inverse problem under
consideration. This report will give a brief overview of the most
interesting works in this area, and will also propose a new formulation and
methods for solving these inverse problems. It will be proven that in the
new formulation, the solutions to the inverse problems are not only unique,
but also exist. In this case, not only the subdiffusion equations will be
considered, but also the fractional-wave equation, the Rayleigh-Stokes
equations and some mixed-type equations.
 *Abstracts and forthcoming talks can be found on our webpage*
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars

https://ejaam.org/editorial.html

*https://icaam-online.org/ <https://icaam-online.org/>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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