Local Fractional Adomain Decomposition Method for Solving Two Dimensional Heat conduction Equations within Local Fractional Operators

Abstract

In this paper, the two-dimensional heat conduction equations with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method. The results obtained show that the numerical method based on the proposed technique gives us the exact solution Illustrative examples are included to demonstrate the validity and applicability of the new technique.