<p>This paper presents a wavelet-based finite element formulation for the mechanical analysis of fractional viscoelastic problems. The viscoelastic behavior is modeled using the fractional-order Kelvin–Voigt constitutive law, which captures the memory-dependent response of polymers and composites more accurately than classical integer-order models. To address the computational challenges of fractional derivatives, the proposed method transforms the resulting improper integral into a system of algebraic equations using Cardinal Chebyshev wavelets (CCW). This approach significantly enhances both the accuracy and efficiency of the numerical solution. The framework is validated through a benchmark problem, demonstrating its reliability and precision. Additionally, a parametric study investigates the rheological behavior of the materials. The results indicate that the proposed approach offers high fidelity and robustness, establishing it as a promising tool for analyzing complex fractional viscoelastic systems.</p>