Correlation of Fractional Derivative Structure and Fractal Structure of High Polymer Materials

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The correlation of the fractional derivative structure and the fractal geometry in viscoelastic materials is tried to be found from the theoretical and experimental approaches. The detailed study points are1. Experiments for establishing fractional derivative model for viscoelastic material,2. Dynamical test for acrylic rubber,3. Observation of the structure of viscoelastic body by the electric microscope,4. Clarification of the contacting point between fractional, derivative model and fractal geometry.and the following detailed results are obtained;・Numerical solution of fractional diffusion equation with source point,・Some relations of fracture phenomenon and fractal model,・Relation of the density and the fractional derivative parameters of acrylic rubber,・Nonlear behavior of viscoelastic material by the actuation experiment.