%0 Journal Article %D 2021 %T An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains %A Maicol Caponi %A Francesco Sapio %X

We 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.

%8 2021/06/04 %@ 1424-3202 %G eng %U https://doi.org/10.1007/s00028-021-00713-2 %! Journal of Evolution Equations