A homotopy based computational scheme for local fractional Helmholtz and Laplace equations

Abstract

In this work, we investigate solutions for the local fractional Helmholtz and Laplace equations on Cantor set having importance in electrostatics, gravitation and fluid dynamics. To find exact solutions, the q-local fractional homotopy analysis transform method (q-LFHATM) has been used. The numerical results computed with the aid of the applied scheme shows that it is an efficient and accurate tool to solve differential equations with local fractional derivatives