Local fractional Laplace transform method to analyze fractional heat equation

Abstract

This study uses variational iteration and the local fractional Laplace transform to get the analytical solution for fractal heat equation. A few examples show how the approach can be used in practice to find non-differentiable solutions to local fractional differential equations, proving that it is valid and trustworthy. Additionally, their graphs are presented.

Keywords

• Local fractional Laplace transform
• Local fractional variational iteration method
• Fractal heat transfer