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We study boundary regional controllability problems for a class of semilinearfractional systems. Sufficient conditions for regional boundary controllabilityare proved by assuming that the associated linear system is approximatelyregionally boundary controllable. The main result is obtained by usingfractional powers of an operator and the fixed point technique under theapproximate controllability of the corresponding linear system in a suitablesubregion of the space domain. An algorithm is also proposed and some numericalsimulations performed to illustrate the effectiveness of the obtainedtheoretical results.

Boundary Regional Controllability of Semilinear Systems Involving Caputo Time Fractional Derivatives