Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control.

•The criterion of finite-time stability is derived for SMRDSs based on a designed boundary controller.•The sufficient condition of SMRDSs is presented in case of the TRs being partially unknown.•For the SMRDSs, the fact that the case of completely known TRs is the special case of partially unknown TRs is discovered through our theoretical results.