Abstract <p>In this work, finite-time stabilization (FTS) was investigated for a nonlinear fractional delay system (NFDS). Finite-time stabilization is achieved through Robin boundary and distributed controls with Dirichlet and Neumann boundary conditions. Firstly, the finite-time stabilization was examined by a proposed right Robin boundary control (RBC). In this context, by using some inequality techniques and a Lyapunov method sufficient conditions are proved to ensure the finite-time stabilization of nonlinear fractional systems with time-delay. Moreover, sufficient conditions are obtained, for the finite-time stabilization of nonlinear fractional systems with time-delay by distributed control. In addition, some numerical experiments were presented to justify and show the effectiveness and the robustness of the designed Robin boundary controls.</p>