Research and prediction of the physical properties of biomaterials and biostructures are associated with the effects of memory, spatial correlation and self-organization processes. Taking into account the fractal structure of biomaterials allows us to identify new regularities of their behavior in mechanical and related processes. Mathematical models of non-isothermal moisture transfer and visco-elastic deformation in biomaterials with taking into account the fractal structure of the environment was constructed. One-dimensional mathematical models of deformation-relaxation processes in environments with fractal structure which characterized by the effects of memory, spatial nonlocality and self-organization are considered. Taking into account that the fractional parameters of fractal models allow to describe the deformation-relaxation processes in biomaterials in comparison with traditional methods more fully in the paper, the optimal approximation method, the Proni's method was proposed. This method allows to reduce the problem of identification the fractional parameters which are the part of the creep and relaxation kernels structure to finding the solutions of systems of linear equations. Software to implement the obtained models was developed. © 2020 Copyright for this paper by its authors.