<p>This research examines the thermal vibration and buckling characteristics of a three-layer sandwich nanoplate. The upper and lower surfaces of the sandwich nanoplate are composed of magneto-electro-elastic material, whereas the core consists of penta-graphene. The mechanical behaviors of the nanoplate are modeled utilizing higher-order shear deformation theory in conjunction with nonlocal strain-gradient theory. In consideration of the derived equations, a comprehensive examination is conducted regarding the influence of the geometric characteristics of the nanoplate, the parameters associated with magneto-electro-elastic materials, and the nonlocal parameters on the buckling temperatures of the nanoplate. This research offers an in-depth examination aimed at elucidating the stability performance of the nanoplate under elevated temperature conditions, yielding significant insights pertinent to advanced engineering applications.</p>