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Approximate analytical solution for seepage flow with fractional derivatives in porous media. (English) Zbl 0942.76077
Summary: We propose an exact model for seepage flow in porous media with fractional derivatives, which modifies the well-known Darcy law and overcomes the continuity assumption of seepage flow. A variational iteration method is described and used to give approximate solutions of the problem. The results show that the proposed iteration method, requiring no linearization or small perturbation, is effective.

MSC:
76S05 Flows in porous media; filtration; seepage
76M30 Variational methods applied to problems in fluid mechanics
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