5 papers · 1 filter
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…