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Initial boundary value problem for fractal heat equation in the semi-infinite region by Yang-Laplace transform

Zhang Yu-Zhu (College of Metallurgy and Energy, Hebei United University, Tangshan, China + College of Mechanical Engineering, Yanshan University, Qinhuangdao, China)
Yang Ai-Min (College of Mechanical Engineering, Yanshan University, Qinhuangdao, China + College of science, Hebei United University, Tangshan, China)
Long Yue (College of Metallurgy and Energy, Hebei United University, Tangshan, China)

Analytical solution of transient heat conduction through a semi-infinite fractal medium is developed. The solution focuses on application of a local fractional derivative operator to model the heat transfer process and a solution through the Yang-Laplace transform.

Keywords: initial boundary value problem, heat equation, fractal media, Yang-Laplace transform