<p>Rock salt is widely used for nuclear waste or hydrocarbon storage due to its self-sealing properties, and it often exhibits significant long-term deformation and time-dependent stress–strain characteristics owing to creep. In this study, a transformed differential quadrature solution for rock salt is proposed by employing fractional derivatives and a modified Burgers model. Initially, the partial differential governing equations for the viscoelastic behavior of rock salt are introduced. Then the Burgers model is applied to describe the stress–strain relationship, and fractional derivative theory is incorporated to modify the model, thereby more accurately simulating the creep of rock salt and their long-term deformation. Through the elastic–viscoelastic correspondence principle, the conversion between elastic and viscoelastic parameters is achieved in the Laplace transformed domain. Finally, a numerical inversion is employed to derive the solution for viscoelastic rock salt. Numerical examples are presented to verify the proposed method. In addition, several case studies are conducted to investigate the impact of viscoelasticity on the long-term deformation and stress–strain characteristics of rock salt. This study provides displacement and stress solutions for rock salt subjected to long-term loading, which is crucial for ensuring the long-term stability of nuclear waste or hydrocarbon storage.</p>