Scientific laboratory of differential equations and their applications
Laboratory Head
ASHUROV RAVSHAN RADJABOVICH
Laboratory Head
📧 Email: ashurov@gmail.com
📞 Telefon: +998903470011
🕔 Reception days:
🏢 Office number: 216
📍 Address:
Address: 100174, Tashkent city, Almazar district, University street, house 4
More detailsAbout Laboratory
The scientific laboratory was initially named the "Differential Equations" department. During 1964-1966 and 1974-2004, the "Differential Equations" department was headed by Academician M.S. Salohiddinov.
Based on the Resolution No. PQ-4387 of the President of the Republic of Uzbekistan dated July 9, 2019 "On measures to further develop mathematics education and sciences with state support, as well as to fundamentally improve the activities of the V.I. Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan," the "Differential Equations" department was transformed into the "Differential Equations and Their Applications" laboratory.
Currently, the scientific laboratory is headed by Doctor of Physical and Mathematical Sciences, Professor R.R. Ashurov. Additionally, the following researchers work at this scientific laboratory: principal research fellows Academician Sh.A. Alimov, S.R. Umarov, A. Khasanov, S.Z. Jamolov, M.Kh. Ruziev, B.J. Qodirqulov, Yu.E. Fayziev, leading research fellow Z.A. Sobirov, senior research fellow O.T. Muhiddinova, and junior research fellow Kh.T. Dehqonov.
In 1985, Academician Sh.A. Alimov was awarded the Al-Beruni State Prize of Uzbekistan. In 2019, he was awarded the "Mehnat Shuhrati" (Glory of Labor) order for his achievements in science and education.
In 2022, R.R. Ashurov received the international "Springer Nature Top Author" award.
In 2023, he was honored with the Medal of the Turkic World Mathematical Society by the Council of Turkic Mathematicians for his special contribution to the development of mathematics.
In 2025, R.R. Ashurov was included in the Stanford/Elsevier Top 2% scientists list.
Laboratory Staff
ASHUROV RAVSHAN RADJABOVICH
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Scientific Activity
Currently, the "Differential Equations and Their Applications" laboratory conducts research in the following directions:
• Direct and inverse problems for fractional-order differential equations and their applications. Fractional-order differential equations (FODE) are generalizations of classical differential equations, which are widely used in modeling processes with memory, anomalous diffusion, and complex physical, biological, and economic phenomena. This research direction focuses on studying direct problems (finding solutions based on given initial and boundary conditions) and inverse problems (determining unknown parameters or fractional orders based on experimental or observational data) for FODE.
• Initial-boundary value problems for second and higher-order partial differential equations. The main objective of the research is to prove the existence, uniqueness, and stability of solutions to equations, as well as to develop analytical and numerical methods for finding them. Such problems are widely applied in modeling processes such as heat transfer, oscillation, diffusion, theory of elasticity, acoustics, electrodynamics, and fluid motion.
• Inverse problems for subdiffusion equations with variable fractional order on metric graphs. Research in this direction is focused on studying inverse problems for subdiffusion equations defined on metric graphs with fractional orders varying across different edges. Such models are of significant importance for representing the propagation processes of substances, energy, or information in network systems—for example, in neural networks, circulatory systems, transport, or communication networks.
• Conducting research on the practical application of research results.
International Cooperation
The laboratory cooperates scientifically with numerous research centers, including:
- Moscow State University
- Institute of Mathematics and Mathematical Modeling of the Academy of Sciences of the Republic of Kazakhstan
- Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences
- Novosibirsk State University
- Vanderbilt University (USA)
- University of New Haven (USA)
- Tufts University, Medford, MA
- University of Oulu (Finland)
- Belgorod State National Research University (NRU BelSU)
- Ghent University (Belgium)
- University of California, Merced, CA
- Fordham University, New York, NY
- CBPF, Rio de Janeiro, Brazil
- Free University of Berlin, Germany
- Berliner Hochschule für Technik, Berlin, Germany
- University of Bologna, Bologna, Italy
- Technische Universität Bergakademie Freiberg (Germany)
- International Islamic University Malaysia (Malaysia)
- Khoja Akhmet Yassawi International Kazakh-Turkish University (Kazakhstan)
Seminars
Republican Scientific-Research Seminar on Differential Equations and Mathematical Physics named after M.S. Salohiddinov and T.D. Jurayev
Seminar venue: ZOOM ID-88273567781
Every Wednesday at 10:30 at V.I.Romanovsky Institute of Mathematics, Room 104
Seminar leaders: Prof. R.R. Ashurov, J.O. Takhirov, A. Khasanov, seminar secretary: R.T. Zunnunov
International Scientific-Research Seminar "Modern Problems of Mathematical Physics"
Seminar venue: ZOOM ID- 88273567781
Every Wednesday at 16:00 at V.I.Romanovsky Institute of Mathematics, Room 104
Seminar leaders: Academician Sh.A. Alimov, Prof. R.R. Ashurov, Prof. A.V. Pskhu, seminar secretary: R.T. Zunnunov