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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.