  We study boundary regional controllability problems for a class of semilinear
fractional systems. Sufficient conditions for regional boundary controllability
are proved by assuming that the associated linear system is approximately
regionally boundary controllable. The main result is obtained by using
fractional powers of an operator and the fixed point technique under the
approximate controllability of the corresponding linear system in a suitable
subregion of the space domain. An algorithm is also proposed and some numerical
simulations performed to illustrate the effectiveness of the obtained
theoretical results.
