TY - JOUR TI - Fractal complex transform technology for fractal Kkorteweg-de Vries equation within a local fractional derivative AU - Xu Jinze AU - Chen Zeng-Shun AU - Wang Jian-Hong AU - Cui Ping AU - Bai Yunru JN - Thermal Science PY - 2016 VL - 20 IS - 13 SP - 841 EP - 845 PT - Article AB - In this paper, we present the fractal complex transform via a local fractional derivative. The traveling wave solutions for the fractal Korteweg-de Vries equations within local fractional derivative are obtained based on the special functions defined on Cantor sets. The technology is a powerful tool for solving the local fractional non-linear partial differential equations.