Modern Methods in Mathematical Physics and their Applications

Ravshan Radjabovich Ashurov is a professor of mathematics and the head of the Laboratory of Differential Equations and their Applications at the V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences. He earned his PhD in 1982 and his Doctor of Science in 1992, both from Moscow State University. His main area of interest is differential equations and mathematical physics. More specifically, he works on fractional differential equations, spectral theory of differential and pseudo-differential operators, harmonic analysis, and wavelet transforms. Throughout his career, he has collaborated with various international institutions, including the University of Birmingham, Vanderbilt University, and the International Centre for Theoretical Physics in Trieste. He has also contributed to academic conferences, such as the IX International Scientific Conference "Modern Problems of Applied Mathematics and Information Technologies – Al-Khwarizmi 2024" held in Tashkent, where he was a keynote speaker. With over 100 scientific publications, including books and monographs in multiple languages, he has significantly advanced the understanding of inverse problems in fractional differential equations and their applications.

 

Erkinjon Karimov is a post-doctoral researcher at the Ghent Analysis and PDE Center at Ghent University, Belgium. His main area of interest is in partial differential equations of integer and fractional order and special functions, connected with such PDEs, and direct and inverse problems for PDEs. He has published extensively in peer-reviewed journals, contributing to advancements in direct and inverse problems for fractional-order PDEs and mixed-type PDEs. His work has been cited widely, reflecting his impact on the scientific community. He holds a Ph.D. (2006) and D.Sc. (2020) from V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, where he focused on direct and inverse problems for PDEs of various types, including mixed-type. Throughout his career, he has collaborated with researchers from the University of Santiago de Compostela, the University of Las Palmas de Gran Canaria, Sultan Qaboos University, etc. His projects have been supported by the State Agency for Science and Technology of the Republic of Uzbekistan, ICMS (Great Britain), ICTP (Italy), and TWAS-CAS (China). In addition to his research, he is actively involved in teaching, mentoring, and managing scientific journals, demonstrating his commitment to education and the development of future scientists.