Институт математики и математического моделирования

“Analysis and Applied Mathematics” Еженедельный онлайн семинар 55

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Date: Tuesday, January 13, 2026

Time: 15.00-16.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)

Zoom link: https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09 ,

Conference ID: 667 827 0445, Access code: 1

Speaker: Dr. Halim Turdiev

V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences

Title: Inverse problem for the abstract diffusion-wave equation with Caputo fractional derivative

Abstract: In this work, we study the inverse problem of determining a potential coefficient in an abstract wave equation that includes a lower-order term. The equation incorporates a time-fractional derivative in the Caputo sense, as well as a fractional power of an abstract operator defined on a Hilbert space. Using the Fourier decomposition method, we analyze the solvability of the direct problem. Leveraging the properties of the solution to the direct problem, we conduct an examination of the inverse problem. By applying the fixed point theorem within a suitable Banach space, we derive results concerning the local existence, uniqueness, and stability of the solution.

Biography:

Halim Turdiev was born in Uzbekistan in 1989. He graduated with a Bachelor's degree in Mathematics from Bukhara State University in 2011, with the highest honors. Subsequently, in 2013, he earned a Master's degree in Mathematics (specialization by field) from Samarkand State University.

In 2022, under the supervision of Professor Durdimurod Durdiev (V.I. Romanovskiy Institute of Mathematics, Uzbekistan), he obtained PhD degree in Mathematics – Partial Differential Equations (PDE).

Since 2024, he has been pursuing his Doctor of Sciences (DSc) at the V.I. Romanovskiy Institute of Mathematics.

Abstracts and forthcoming talks can be found on our webpage

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

Kazakh Mathematical Journal

“Analysis and Applied Mathematics” Еженедельный онлайн семинар 55

Title: Inverse problem for the abstract diffusion-wave equation with Caputo fractional derivative

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