TY - JOUR
TI - Solving fractal steady heat-transfer problems with the local fractional Sumudu transform
AU - Wang Yi
AU - Lu Xiao-Xu
AU - Cattanic Carlo
AU - Guirao Juan L.G
AU - Yang Xiao-Jun
JN - Thermal Science
PY - 2015
VL - 19
IS - 12
SP - 637
EP - 641
PT - Article
AB - In this paper the linear oscillator problem in fractal steady heat-transfer  is studied within the local fractional theory. In particular, the local  fractional Sumudu transform (LFST) will be used to solve both the homogeneous  and the non-homogeneous local fractional oscillator equations (LFOEs) under  fractal steady heat-transfer. It will be shown that the obtained  non-differentiable solutions characterize the fractal phenomena with and  without the driving force in fractal steady heat transfer at low excess  temperatures.