<p>The control of fractional partial differential equations presents significant challenges. Recently, zeroing dynamics control has proven to be effective for designing controllers for integer-order ordinary and integer-order partial differential equations. In this paper, the zeroing dynamics control method is extended to fractional partial differential equations to develop a distributed zeroing dynamics controller capable of achieving both tracking and disturbance rejection, where the output is defined as a weighted integral of the state. Stability analysis is conducted within the framework of semigroup theory. It is shown that, with an appropriate choice of the tuning parameter, accurate control performance and effective disturbance rejection can be achieved. Two application examples are provided to illustrate the effectiveness of the proposed distributed zeroing dynamics controller.</p>