Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

Advances in Difference Equations

Dumitru Baleanu¹  Xiao-Jun Yang³  Wei-Hua Su⁵  H Jafari⁶ 

[1] Civil Engineering, China University of Mining &Technology, Xuzhou, China;Institute of Medical Equipment, Academy of Military Medical Sciences, Tianjin, China;Institute of Software Science, Zhengzhou Normal University, Zhengzhou, China;School of Mechanical Engineering, Tianjin University, Tianjin, China;School of Mechanics &

关键词: fractional complex transform method;    wave equations;    local fractional differential operators;    Cantor sets;   

DOI  :  10.1186/1687-1847-2013-97

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equations on Cantor sets.

【 授权许可】

CC BY