Hölder continuity of exponential pullback attractors for Form II Mindlin's strain gradient viscoelastic plate

The paper investigates some continuity properties of pullback and exponential attractors the non-autonomous problem Form II Mindlin's strain gradient viscoelastic plate derived recently by Aouadi [2]. Under quite general assumptions on nonlinear damping sources terms, we establish existence uniqueness weak strong solutions. We prove in natural space energy, its upper semicontinuity with respect to perturbed parameter $ \delta \in (0, 1] finite fractal dimension. Finally, that related process has an attractor \mathcal{M}_\delta for each $, Hölder \delta\in $. In particular, perturbation holds global when dynamical system degenerates autonomous one, so results deepen extend those