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In this paper, the problems of radio resource allocation for Orthogonal Frequency Division Multiple Access (OFDMA) systems are addressed. The main goal of this paper is to present and analyze base station allocation of subcarriers and adaptive modulation. We impose a set of proportional fairness constraints to assure that each user can achieve a required data rate. Since the optimal solution to the fairness problem is extremely computationally complex to obtain, we propose an adaptive radio resource allocation method based on differential evolutionary algorithm for multiuser OFDMA system. The performance of the described schemes is further evaluated in numerical experiments. We improve the convergence of the differential evolutionary algorithm through the method of elitist selection and adding some individuals with 'good' genes to the initial population. Simulation results show that out proposed algorithm better than static subcarrier allocation schemes TDMA in multiuser OFDMA system.