This paper deals with generalizing the problem of controllability of semilinear hyperbolic systems in an infinite-dimensional space. Hence, we establish the regional fractional controllability of the linear system using the Hilbert uniqueness method HUM, and the considered problem is solved by applying Schauder’s fixed point theorem. Moreover, the analytics study is attempted using generalized inverse methods and transformed into a fixed point problem to provide an approximate approach for the control with minimal energy. Finally, numerical simulations are employed to validate the obtained results.