Fog computing significantly enhances the efficiency of IoT applications by providing computation, storage, and networking resources at the edge of the network. In this paper, we propose a federated fog computing framework designed to optimize resource management, minimize latency, and reduce energy consumption across distributed IoT environments. Our framework incorporates predictive scheduling, energy-aware resource allocation, and adaptive mobility management strategies. Experimental results obtained from extensive simulations using the OMNeT++ environment demonstrate that our federated approach outperforms traditional non-federated architectures in terms of resource utilization, latency, energy efficiency, task execution time, and scalability. These findings underline the suitability and effectiveness of the proposed framework for supporting sustainable and high-performance IoT services.