In this paper we develop analytical solutions for
the Helmholtz and Laplace equations involving local fractional
derivative operators. We implement the local fractional
decomposition method (LFDM) for finding the exact
solutions. The iteration procedure is based upon the
local fractional derivative sense. The numerical results,
whichwe present in this paper, show that the methodology
used provides an efficient and simple tool for solving fractal
phenomena arising in mathematical physics and engineering.
Several illustrative examples are also provided.