Approximate analytic solution of the fractal Fisher’s equation via local fractional variational iteration method

Abstract

The local fractional variational iteration method is applied to a modified Fisher?s equation defined on Cantor sets with the fractal conditions. The solution process is simple, and the accuracy of the approximate solution is high. The method provides an unrivaled tool for local differential equations. Key word: fractal Fisher?s equation, approximate analytical solutions, local fractional variational iteration method, local fractional derivative