APPROXIMATE SOLUTIONS FOR DIFFUSION EQUATIONS ON CANTOR SPACE-TIME

作者:Yang, Xiao-Jun*; Baleanu, Dumitru; Zhong, Wei-Ping
来源:Proceedings of the Romanian Academy - Series A: Mathematics, Physics, Technical Sciences, Information Science , 2013, 14(2): 127-133.

摘要

In this paper we investigate diffusion equations on Cantor space-time and we obtain approximate solutions by using the local fractional Adomian decomposition method derived from the local fractional operators. Analytical solutions are given in terms of the Mittag-Leffler functions defined on Cantor sets.