Regional fractional output stabilization of Caputo time-fractional bilinear distributed systems

Abstract

In this research, we discuss the weak and strong stabilization for bilinear Caputo time fractional systems only in a subregion $ \omega $ of the evolution domain $ \Omega. $ Hence, we use some general sufficient conditions and exact and weak fractional observability inequalities to solve the considered problem. Lastly, we implement numerical simulations employing an algorithm to check the accuracy of the attained theoretical results.