Open AccessRegularity and stability analysis for semilinear generalized Rayleigh-Stokes equations
Author(s) -
Đỗ Lân
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021002
Subject(s) - nonlinear system , mathematics , perturbation (astronomy) , convergence (economics) , stability (learning theory) , rayleigh scattering , mathematical analysis , derivative (finance) , physics , computer science , economics , quantum mechanics , machine learning , financial economics , optics , economic growth
We study the generalized Rayleigh-Stokes problem involving a fractional derivative and nonlinear perturbation. Our aim is to analyze some sufficient conditions ensuring the global solvability, regularity and asymptotic stability of solutions. In particular, if the nonlinearity is Lipschitzian then the mild solution of the mentioned problem becomes a classical one and its convergence to equilibrium point is proved.