Longtime behavior of semilinear multi-term fractional in time diffusion

2024/03/02 by Vasylyeva, Nataliya · 1 citation
#26A33 #35B45 #35B65 #35Q92 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.01302

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 t→+∞) of a solution is discussed. In particular, the existence of absorbing sets in suitable functional spaces is established.

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