This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. [J. Math. Biol., 72(4):973--996, 2016] with additional viscoelastic effects, which was also investigated the authors [arXiv preprint: 2110.00042, 2021]. Compared to it, is posed in cylindrical domain ninety-degree contact angles, brings difficulties when we deal linearization of sys...