A NEW COMPUTATIONAL METHOD FOR THE ONE-DIMENSIONAL DIFFUSION PROBLEM WITH THE DIFFUSIVE PARAMETER VARIABLE IN FRACTAL MEDIA.

In this paper, we use a local fractional Laplace decomposition method to solve the diffusion equation with the diffusive parameter variable in fractal media. The obtained result illustrates the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives. [ABSTRACT FROM AUTHOR]