Abstract
We consider a viscoelastic rod with a concentrated mass at its end. The mass is moving along the straight line that coincides with the rod axis. The mass is connected by a linear spring and a known active force is acting on it. We assume that the rod is light and described by fractional dissipation. The dynamics of such a system constitutes a problem of a fractional oscillator. In this paper, we shall study some properties of the solutions for the distributed-order fractional derivative viscoelastic rod.
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