This work introduces a novel framework for analyzing wave propagation in hydro-semiconductors by simultaneously incorporating fractional-order heat conduction, temperature-dependent thermal conductivity, and rotational effects into a unified photo-thermoelastic model. Unlike previous studies that considered these effects separately, the present model couples nonlocal fractional heat transport with variable thermal conductivity in a rotating semiconductor medium. Analytical solutions are obtained using the normal mode method, and numerical results illustrate how fractional derivatives and temperature-dependent conductivity jointly reshape thermal, mechanical, and carrier wave behaviors compared to classical theories. The findings provide new physical insights into nonlocal, memory-driven, and anisotropic transport phenomena in advanced semiconductor systems, which are not captured by conventional thermoelasticity models.

This work explores the influence of Hall current on the thermoelastic behavior of nanostructured (nonlocal) plates made of an elastic material, modeled under a double-temperature (two-temperature theory) framework, and subjected to ramp-type heating. The dual-temperature model accounts for the separate thermal dynamics, while the nonlocal elasticity theory incorporates long-range interactions within the material, making it particularly suitable for nanoscale materials. The governing equations are derived by integrating the effects of Hall current, and nonlocal elasticity into the coupled electro-thermo-mechanical equations according to the dual-phase lag model. The solution is obtained through the application of the normal mode analysis technique, allowing for the decoupling of the governing equations into solvable ordinary differential equations. Numerical simulations are performed, and results are presented graphically to compare the wave propagation characteristics of the basic physical fields such as temperature, displacement, acoustic pressure, and stress under the influence of Hall current and varying nonlocal parameters. The results reveal significant changes in wave propagation under varying boundary conditions, offering valuable insights into the interaction between magneto-electric fields, mechanical stresses, and thermal gradients. The study provides a novel framework for understanding wave propagation in nanostructured materials and paves the way for further research into their application in advanced thermoelectric-mechanical devices.