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Mathematics Subject Classification: 74D05, 26A33
In this paper, a comparative analysis of the models involving fractional
derivatives of di®erent orders is given. Such models of viscoelastic materials
are widely used in various problems of mechanics and rheology. Rabotnov's
hereditarily elastic rheological model is considered in detail. It is shown
that this model is equivalent to the rheological model involving fractional
derivatives in the stress and strain with the orders proportional...
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