TY - JOUR T1 - An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains Y1 - 2021 A1 - Maicol Caponi A1 - Francesco Sapio AB -

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.

SN - 1424-3202 UR - https://doi.org/10.1007/s00028-021-00713-2 JO - Journal of Evolution Equations ER -