Abstract
In this article, two local fractional theological models via spring and dashpot elements in the one-dimensional case are proposed for the first time. The creep and relaxation behaviors of the fractal Maxwell fluid and Kelvin-Voigt solid are discussed. The constitutive relationships of the fractal mechanical elements are formulated by using local fractional calculus. The viscoelastic characteristics of the real materials are efficiently demonstrated and illustrated with the fractal charts.