8 citations · 15 across the 11 of their papers we have counts for
11 papers
World Reasoning Arena
PAN Team, Qiyue Gao, Kun Zhou +15
World models (WMs) are intended to serve as internal simulators of the real world that enable agents to understand, anticipate, and act upon complex environments. Existing WM bench…
On the explicit formula linking a function to the order of its fractional derivative
Vasyl Semenov, Nataliya Vasylyeva
In this paper, given a certain regularity of a function , we derive an explicit formula relating the order of the leading fractional derivative in a fractional dif…
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…
On a local solvability of the contact Muskat problem
Nataliya Vasylyeva
In the paper, we discuss the two-dimensional contact Muskat problem with zero surface tension of a free boundary. The initial shape of the unknown interface is a smooth simple curv…
Analysis of a Radiotherapy Model for Brain Tumors
Marina Chugunova, Hangjie Ji, Roman Taranets +1
In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in th…
Longtime behavior of semilinear multi-term fractional in time diffusion
Nataliya Vasylyeva
In the paper, the initial-boundary value problems to a semilinear integro-differential equation with multi-term fractional Caputo derivatives are analyzed. A particular case of thi…
Initial-boundary value problems to semilinear multi-term fractional differential equations
Sergii Siryk, Nataliya Vasylyeva
For , we analyze the semilinear integro-differential equation on the one-dimensional domain in the unknown \[ \mathbf{D}_{t}^ν(\varrho_{0}u)…
On a class of functional difference equations: explicit solutions, asymptotic behavior and applications
Nataliya Vasylyeva
For and a complex parameter we discuss a linear inhomogeneous functional difference equation with variable coefficients on a complex plane $z\in\mathbb…
Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries
Vittorino Pata, Sergii Siryk, Nataliya Vasylyeva
For , we analyze a linear integro-differential equation on the space-time cylinder in the unknown $$\mathbf{D}_{t}^{ν_1}(\varrho_{1}u)-\m…
Qualitative analysis of solutions for a degenerate PDE model of epidemic dynamics
Marina Chugunova, Roman Taranets, Nataliya Vasylyeva
Compartmental models are widely used in mathematical epidemiology to describe dynamics of infection disease. A new SIS-PDE model, recently derived by Chalub and Souza, is based on…
Asymptotic analysis of a contact Hele-Shaw problem in a thin domain
Taras Mel'nyk, Nataliya Vasylyeva
We analyze the contact Hele-Shaw problem with zero surface tension of a free boundary in a thin domain Under suitable conditions on the given data, the one-va…