Longtime behavior of semilinear multi-term fractional in time diffusion
Analysis of PDEs
2024-03-05 v1
Abstract
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 this equation models oxygen diffusion through capillaries. Under proper assumptions on the coefficients and a nonlinearity, the longtime behavior (as ) of a solution is discussed. In particular, the existence of absorbing sets in suitable functional spaces is established.
Keywords
Cite
@article{arxiv.2403.01302,
title = {Longtime behavior of semilinear multi-term fractional in time diffusion},
author = {Nataliya Vasylyeva},
journal= {arXiv preprint arXiv:2403.01302},
year = {2024}
}