This paper addresses the distributed resource allocation through unmanned aerial vehicles (UAV) fleets in rural areas. In particular, we cast the resource distribution as an energy constrained vehicle-target assignment problem, and we solve this problem with an iterative distributed graph algorithm. Our proposed method allows an energy efficient assignment, satisfying UAV energy, load, and communication constraints. Our proposed algorithm is characterized through numerical simulations for various fleet sizes and area of operations (AO) partitions. Simulation results illustrate the proposed method.