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DYNAMICS OF FRACTAL SOLIDS
2005
International Journal of Modern Physics B
We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order. The order of fractional integral can be equal to the fractal mass dimension of the solid. Fractional integrals are considered as an approximation of integrals on fractals. We
doi:10.1142/s0217979205032656
fatcat:vn423wmsnzc4xlouswfgkm72xe