Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String
Joint Authors
Yang, Xiao-Jun
Agarwal, Ravi P.
Hu, Ming-Sheng
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hu, Ming-Sheng& Agarwal, Ravi P.& Yang, Xiao-Jun. 2012. Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-481314
Modern Language Association (MLA)
Hu, Ming-Sheng…[et al.]. Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-481314
American Medical Association (AMA)
Hu, Ming-Sheng& Agarwal, Ravi P.& Yang, Xiao-Jun. Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-481314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481314