S. Siryk

activity

20182026

most citedA note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems

10 citations · 25 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.AP2025★ 1 cited

Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation

Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk +1

In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differenti…

math.AP2023★ 8 cited

Initial-boundary value problems to semilinear multi-term fractional differential equations

Sergii Siryk, Nataliya Vasylyeva

For $ν, ν_{i}, μ_{j} \in (0, 1)$ , we analyze the semilinear integro-differential equation on the one-dimensional domain $Ω = (a, b)$ in the unknown $u = u (x, t)$ \[ \mathbf{D}_{t}^ν(\varrho_{0}u)…

math.AP2022★ 3 cited

Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries

Vittorino Pata, Sergii Siryk, Nataliya Vasylyeva

For $0 < ν_{2} < ν_{1} \leq 1$ , we analyze a linear integro-differential equation on the space-time cylinder $Ω \times (0, T)$ in the unknown $u = u (x, t)$ $$\mathbf{D}_{t}^{ν_1}(\varrho_{1}u)-\m…