Affiliation:
1. Basic Teaching Department, Huanghe Jiaotong University, Wuzhi, China
Abstract
This paper considers a temperature-dependent thermal conductivity with memory
property in a fractal space. The two-scale fractal derivative is adopted to
model the temperature field in the spatial dimensions, and Caputo fractional
derivative is used to describe its memory property. The variational
iteration method is employed to solve the mixed model with great success.
This paper offers a new window for studying intractable problems arising in
porous media or unsmooth boundaries.
Publisher
National Library of Serbia
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