TY - JOUR TI - Analytical solution for non-linear local fractional Bratu-type equation in a fractal space AU - Yao Shao-Wen AU - Li Wen-Jie AU - Wang Kang-Le JN - Thermal Science PY - 2020 VL - 24 IS - 6 SP - 3941 EP - 3947 PT - Article AB - In this paper, the non-linear local fractional Bratu-type equation is described by the local fractional derivative in a fractal space, and its variational formulation is successfully established according to semi-inverse transform method. Finally, we find the approximate analytical solution of the local fractional Bratu-type equation by using Adomina decomposition method.