Research profile
Research areas
- Analysis and differential equations.
- Dynamical systems.
- Fractional analysis.
- Inverse problems.
- Free-boundary problems.
- Biomathematics and biomechanics.
Academic activity
Professional activity
Research activity covers analysis and differential equations, dynamical systems, fractional analysis, inverse problems, free-boundary problems, biomathematics, and biomechanics.
Selected publications
Publications
Articles in peer-reviewed journals
- Analysis of a Radiotherapy Model for Brain Tumors / M. Chugunova, H. Ji, R. Taranets, N. Vasylyeva. Studies in Applied Mathematics. 2025. DOI: https://doi.org/10.1111/sapm.70074.
- Pata V., Siryk S. V., Vasylyeva N. Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries. Applicable Analysis. 2025. DOI: https://doi.org/10.1080/00036811.2025.2533956.
- Pereverzyev S., Siryk S. V., Vasylyeva N. Identification of the memory order in multi-term subdiffusion equations. Numerical Functional Analysis and Optimization. 2025. DOI: https://doi.org/10.1080/01630563.2024.2447247.