Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets. (12th March 2014)

• Record Type: Journal Article
• Authors: Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun
• Other Names: Bhrawy Ali H. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/372741
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets.