Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String. (17th December 2012)

• Record Type: Journal Article
• Authors: Hu, Ming-Sheng; Agarwal, Ravi P.; Yang, Xiao-Jun
• Other Names: Xu Lan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/567401
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce the wave equation in fractal vibrating string in the framework of the local fractional calculus. Our particular attention is devoted to the technique of the local fractional Fourier series for processing these local fractional differential operators in a way accessible to applied scientists. By applying this technique we derive the local fractional Fourier series solution of the local fractional wave equation in fractal vibrating string and show the fundamental role of the Mittag-Leffler function.