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Network traffic model based on Alpha stable process is a hot point. Many models without proof have been proposed. A fractal Alpha model is proposed in this paper and two proofs based on flow and session level respectively are given. Proof and simulation show the model in this paper can describe the self similarity, spike and the long range dependent between increments. Using the mode in this paper, a formula for the residual of the queueing distribution function (RDF) is deduced. Comparing the RDF based on the model in this paper with that based on other models, it can be found that the formula in this paper meet real RDF better.