<p>This article provides a novel three-dimensional fractional Boundary Element Method (BEM) for effective knowledge of thermo-elastoplastic stress sensitivity of anisotropic materials with temperature-dependent material properties. The approach incorporates nonlocality and memory effects caused by the intercoupled thermal and mechanical loadings through the coupling of BEM with fractional calculus. For efficient representation of material response, the model formulation is made in terms of a temperature-dependent constitutive law and a fractional yield function. For enabling higher computational efficiency, a mixed-type splitting (TMS) iterative scheme is employed that significantly reduces the number of iterations and the overall computation time. Domain integrals are handled by the very high precision Cartesian Transformation Method (CTM). Numerical computation confirms the practicability and the utility of the process in the simulation of complex stress behaviors, and findings underscore the significance of temperature variation and anisotropy. The process provides a robust and reliable means for advanced materials’ analysis engineering. </p>