Hydraulic fracturing technology developed to enhance the production of oil and gas in underground reservoirs has expanded to other applications. As the exploitation of underground resources moves deeper, traditional hydraulic fracturing models based on linear elasticity may be inadequate to predict the characteristics and geometry of hydraulic fractures at great depth, which are usually under conditions of high temperature and stress. In this study, time-dependent deformations of tight sandstone are verified and a fractional Maxwell model is used to simulate creep behavior. Coupled with a cohesive zone model, the fractional Maxwell model is incorporated into ABAQUS with a user-defined creep subroutine, and hydraulic fracturing in a elastic/viscoelastic formation is modeled to study the influence of the viscoelastic behavior of rocks on hydraulic fracture configurations. The time dependent deformation of reservoir rocks influences the configuration and propagation velocity of hydraulic fractures. The parameter studies are also conducted to investigate the influence of injection rate, fluid viscosity and leakoff coefficient on hydrualic fracture geometries. In future studies, additional benefits may emerge from the strengthening effect of temperature and fracturing fluid on viscoelastic deformation.