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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 |

### Keywords:

seepage flow; porous media; fractional derivatives; Darcy law; variational iteration method; approximate solutions
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\textit{J. He}, Comput. Methods Appl. Mech. Eng. 167, No. 1--2, 57--68 (1998; Zbl 0942.76077)

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### References:

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