<p>This study presents a novel thermo-viscoelastic model for analyzing the thermal and mechanical behavior of nanoscale viscoelastic materials subjected to non-Gaussian laser radiation and magnetic fields. By integrating memory-dependent derivatives (MDDs), the Moore Gibson Thompson (MGT) heat conduction equation, and nonlocal elasticity theory, the model addresses limitations inherent in traditional heat transfer approaches such as Fourier-based methods and Green Naghdi type III formulations that overlook size-dependent effects, memory behavior, and finite thermal wave propagation. The framework incorporates MDDs to capture historical deformation, nonlocal elasticity to represent long-range atomic interactions, and MGT equations to ensure finite thermal wave speeds. Additionally, tensorial relaxation functions and customizable kernel functions enhance the accuracy of time-dependent thermo-mechanical response predictions. The governing equations are solved using Laplace transform techniques for a one-dimensional viscoelastic semi-infinite domain exposed to laser heating and an external magnetic field. Numerical simulations, based on the properties of Plexiglas, demonstrate the model’s superior accuracy in predicting displacement, temperature, and stress distributions compared to classical and fractional models, particularly under extreme conditions. This innovative approach provides a robust tool for designing durable nanomaterials with applications in nanoelectronics, creep-resistant polymers, biomechanical prosthetics, and aerospace composites. It establishes a scalable and physically consistent framework for tackling critical challenges in next-generation nanotechnology and engineering.</p>