Caponi, MaicolSapio, Francesco2020-11-042020-11-042020-11-04https://openscience.sissa.it/handle/1963/35408We prove an existence result for the fractional Kelvin-Voigt's model involving Caputo's derivative on time-dependent cracked domains. We first show the existence of a solution to a regularized version of this problem. Then, we use a compactness argument to derive that the fractional Kelvin-Voigt's model admits a solution which satisfies an energy-dissipation inequality. Finally, we prove that when the crack is not moving, the solution is unique.enlinear second order hyperbolic systemsdynamic fracture mechanicscracking domainselastodynamicsviscoelasticityfractional Kelvin-VoigtCaputo's fractional derivativePreprint