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Dear Colleagues! V. Kupradze Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Wednesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).

Talk on June 17, 2026

This seminar will start at 18:30 local time in Tbilisi.
Note: This is 1.5 hours earlier than the usual seminar start time.

Speaker: Dr Karel Van Bockstal, Ghent University, Belgium;
E-mail:  karel.vanbockstal@ugent.be;
cage.ugent.be/~kvb/

The title of the lecture: "An Explicit and Stable Approximation of the Impulse Response for Fractionally Damped Oscillators"

Abstract: Fractional damping models have attracted considerable attention due to their ability to capture complex dissipative phenomena that cannot be adequately described by classical viscous damping. In this talk, we consider a fractionally damped oscillator in which the damping term is represented by a Caputo fractional derivative of order \( \beta \in (0,1) \). The corresponding impulse response can be expressed in terms of a bivariate Mittag–Leffler function involving a double infinite series. While this representation is mathematically exact, its numerical evaluation may become computationally unstable and difficult to use in engineering applications.
To overcome these challenges, we derive an explicit approximation of the impulse response that avoids the numerical instabilities associated with the original series representation while preserving excellent accuracy. The resulting expression may be viewed as a fractional counterpart of the classical impulse response of a viscously damped oscillator. Extensive comparisons in both the time and frequency domains demonstrate the accuracy, robustness, and computational efficiency of the proposed approximation. Finally, its practical applicability is illustrated through the computation of system responses to arbitrary excitations via the Duhamel integral and through validation against experimental data.

Download Poster: Link to Download

How to join: The seminar is organized on the Google Meet platform. If you are already registered, you do not need to register again. Otherwise, to join the seminar, please send an email to kim@ug.edu.ge or register here:

https://forms.gle/xfQJ9fg1uqe7CrZw6

You will then receive further information.

Google Meet Join Information

Organizers:
1. R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
2. E. Shargorodsky, Department of Mathematics, King’s College London, UK
3. A. Meskhi, Kutaisi International University, Kutaisi, Georgia

Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia

Technical support:
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
T. Kuzmina, Institute of Mathematics, University of Georgia, Tbilisi, Georgia

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Download poster: Link to Download