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The problems in continuum mechanics concern mathematical modelling of viscoelastic bodies (§1), and unsteady motion of a particle in a viscous fluid, i.e. the Basset problem (§2). In the former analysis fractional calculus leads us to introduce intermediate models of viscoelasticity which generalize the classical spring-dashpot models. The latter analysis induces us to introduce a

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Introduction to the Mechanics of a Continuous Medium 1969

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The problems in continuum mechanics concern mathematical modelling of viscoelastic bodies (§1), and unsteady motion of a particle in a viscous fluid, i.e. the Basset problem (§2). In the former analysis fractional calculus leads us to introduce intermediate models of viscoelasticity which generalize the classical spring-dashpot models. The latter analysis induces us to introduce a

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