Abstract
This study develops a fractional-order magneto-micropolar thermoviscoelastic model to examine the coupled influence of viscosity, rotation, and Hall current in a rotating half-space. The governing equations, formulated using the fractional-order heat conduction law, are solved through the normal mode analysis method. The results demonstrate that viscosity acts as a stabilizing factor by dissipating mechanical energy and reducing displacement and temperature amplitudes. The fractional-order parameter introduces memory-dependent and nonlocal behavior, amplifying deformation at lower orders, while the rotation parameter enhances oscillatory motion through Coriolis coupling and delays attenuation. The findings reveal a distinct coupling mechanism between fractional-order and rotational effects, which governs the propagation and dissipation of thermoelastic and micropolar fields. This framework provides new physical insight into wave behavior in rotating conductive materials and offers potential applications in the design of smart composites, magneto-viscoelastic structures, and high-speed aerospace components.