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Characteristic equation method for fractal heat-transfer problem via local fractional calculus

Liu Geng-Yuan (Beijing Normal University, School of Environment, State Key Joint Laboratory of Environment Simulation and Pollution Control, Beijing, China + Beijing Engineering Research Center for Watershed Environmental Restoration & Integrated Ecological Regulation, )

In this paper the fractal heat-transfer problem described by the theory of local fractional calculus is considered. The non-differentiable-type solution of the heat-transfer equation is obtained. The characteristic equation method is proposed as a powerful technology to illustrate the analytical solution of the partial differential equation in fractal heat transfer.

Keywords: heat-transfer equation, analytical solution, local fractional calculus, characteristic equation method