Speaker : Jaan Janno, Tallinn University of Technology

Time : 15:00 - 16:00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

YouTube :  https://youtu.be/PXbYA95Uz04

Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: fractional diffusion equation, Inverse problem, Generalized fractional derivative

Abstract: We introduce a method to handle identification problems with unknown history. The method presumes the analyticity after t₀ of an output of a system corresponding to unknown input that was active before t₀. An additional input is generated by an observer after t₁ > t₀. The analyticity enables to remove the unknown history and consider identification of parameters of a system independently. We apply the method to three identification problems posed to generalized fractional diffusion equations. Basic ideas of this approach are included in [1]. 

Biography:  Jaan Janno is an Estonian professor: born in 1961, graduated from Tartu State University in 1984, obtained the degree of Candidate of Mathematics and Physics (PhD equivalent) at the Institute of Mathematics and Physics of the Ural Branch of the Academy of Sciences of the USSR in 1988, Professor at the Tallinn University of Technology since 2003. He has served on the editorial board of a number of journals and as a plenary speaker in international conferences, and he has been part of multiple research projects funded by the Estonian government.

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