A new computational approach for solving nonlinear local fractional PDEs

摘要

In this article, we propose a new factorization technique for nonlinear ODEs involving local fractional derivatives for the first time. By making use of the traveling-wave transformation, the exact solutions for nonlinear local fractional FitzHugh–Nagumo and Newell–Whitehead equations are given. The obtained results illustrate that the proposed method is efficient and accurate for finding the exact solutions for a class of local fractional PDEs occurring in mathematical physics.