The present article deals with the local fractional linear transport equations (LFLTE) in fractal porous media. LFLTE play a key role in different scientific problems such as aeronomy, superconductor, semiconductors, turbulence, gas mixture, plasma and biology. A numerical scheme namely q-local fractional homotopy analysis transform method (q-LFHATM) is applied to get the solution of LFLTE. The results obtained by using of q-LFHATM show that the proposed scheme is very suitable and easy to perform with high accuracy.

中文翻译：

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分形多孔介质中局部分数传输方程的一种有效计算方法

本文讨论了分形多孔介质中的局部分数线性传输方程（LFLTE）。LFLTE在各种科学问题中发挥着关键作用，例如航空学，超导体，半导体，湍流，气体混合物，等离子体和生物学。采用数值方案，即q-局部分数同质分析变换方法（q- LFHATM）来求解LFLTE。通过使用q -LFHATM获得的结果表明，所提出的方案非常适合并且易于以高精度执行。