Modern Methods in Mathematical Physics and their Applications: Dedicated to the 80th Anniversary of Shavkat Alimov (Trends in Mathematics, 16) - Hardcover

Hardcover

ISBN 10: 303213871X ISBN 13: 9783032138712

Publisher: Birkhäuser, 2026

Synopsis

This volume is a collection of selected peer-reviewed scientific results presented at the conference "Modern Methods in Mathematical Physics and their Applications" held in Uzbekistan from April 22 to 24, 2025. The aim of the conference was to exchange ideas as well as foster international collaboration. The main topics include algebra and analysis, direct and inverse problems for differential equations (both integer and fractional-order), spectral theory of differential operators, mathematical modeling, and computational mathematics. The book will be of interest to researchers working in these fields.

About this title

About the Author

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.

From the Back Cover

This volume is a collection of selected peer-reviewed scientific results presented at the conference "Modern Methods in Mathematical Physics and their Applications" held in Uzbekistan from April 22 to 24, 2025. The aim of the conference was to exchange ideas as well as foster international collaboration. The main topics include algebra and analysis, direct and inverse problems for differential equations (both integer and fractional-order), spectral theory of differential operators, mathematical modeling, and computational mathematics. The book will be of interest to researchers working in these fields.

Edition details

• Publisher: Birkhäuser
• Publication date: 2026
• Language: English
• ISBN 10: 303213871X
• ISBN 13: 9783032138712
• Binding: Hardcover
• Number of pages: 354
• Editor: Ashurov Ravshan, Karimov Erkinjon