Speaker : Ravshan Ashurov, Institute of Mathematics, Academy of Science of Uzbekistan, Tashkent, Uzbekistan

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

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

Zoom :  https://sissa-it.zoom.us/j/84992255801?pwd=cjMIcabJhCk91tb3aVTMblfSPKD6ih.1

• Meeting ID : 849 9225 5801
• Passcode: 123456

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: Inverse problems, Partial differential equations, Initial-boundary value problems

Abstract: Determining the unknown order of a fractional derivative in differential equations modeling various processes is an important problem in modern applied mathematics. Inverse problems of determining these unknown parameters are not only of theoretical interest, but are also necessary for finding a solution to an initial-boundary value problem and studying the properties of 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. This report will give a brief overview of the most interesting works in this area, and will also consider methods for solving such inverse problems for equations of mathematical physics.

Biography: Professor Ravshan Ashurov is currently head of laboratory at the Institute of Mathematics of the Academy of Science of Uzbekistan. He studied at Moscow State University, receiving his PhD from there in 1982 and a Doctor of Science also from there in 1992. He has worked as a scientific researcher or visiting scientist at a number of institutions including Birmingham University in England, Vanderbilt University in the US, and the ICTP in Trieste. He has published more than 100 scientific papers as well as several books and monographs in English, Russian, and Uzbek. His research interests include fractional differential equations of ordinary and partial type, spectral theory of differential and pseudo-differential operators, harmonic analysis, and wavelet transforms.

Bibliography