Existence for fractional evolutionary inclusions involving nonlinear weakly continuous operators with applications

In this paper, our primary purpose is to settle the existence for a type of fractional -order evolutionary inclusions. By utilizing the Rothe method and the surjective result of weakly continuous operators, we show that the solution of the evolutionary equation exists under several kinds hypotheses on the data. Finally, the obtained results are applied to verify the existence of solutions for a time -fractional evolutionary hemivariational inequality, a time -fractional Navier-Stokes-Voigt equation and a quasistatic friction contact problem.