Boundary-value problem for a nonlocal in time and space fractional-differential analogue of the biparabolic evolutionary equation
In this work, the formulation and solution of a nonstationary boundary value problem for a fractional-differential analog (with nonlocality in the temporal and spatial variables) of the wellknown biparabolic evolutionary partial differential equation of the fourth order are presented. Additionally, the conditions for the existence of a regular solution to the specified problem are provided.
Authors
- S. I. Lyashko (ORCID: https://orcid.org/0000-0003-1016-5231)
- V. M. Bulavatsky
- O. S. Bondar (ORCID: https://orcid.org/0000-0003-1849-1744)
Institutions
- National Academy of Sciences of Ukraine (UA)
- Taras Shevchenko National University of Kyiv (UA)
- V.M. Glushkov Institute of Cybernetics (UA)
Publication Details
- Journal
- Journal of Numerical and Applied Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.17721/2706-9699.2025.1.01
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00