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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 632309, 6 pages
Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method
1School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China
2Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
4Institute of Space Sciences, Magurele, 077125 Bucharest, Romania
5Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China
Received 12 May 2013; Accepted 13 June 2013
Academic Editor: H. Srivastava
Copyright © 2013 Yong-Ju Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [14 citations]
The following is the list of published articles that have cited the current article.
- Yang Zhao, Dumitru Baleanu, Mihaela Cristina Baleanu, De-Fu Cheng, and Xiao-Jun Yang, “Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators,” Abstract and Applied Analysis, vol. 2013, pp. 1–6, 2013.
- N. Vijender, and R. P. Agarwal, “Rational iterated function system for positive/monotonic shape preservation ,” Advances in Difference Equations, 2014.
- Zhi-Yong Chen, Carlo Cattani, and Wei-Ping Zhong, “Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach,” Advances in Mathematical Physics, vol. 2014, pp. 1–7, 2014.
- Hongqing Zhu, Zhiguo Gui, Yu Zhu, and Zhihua Chen, “Discrete Fractional COSHAD Transform and Its Application,” Mathematical Problems in Engineering, vol. 2014, pp. 1–20, 2014.
- Yong-Ju Yang, and Liu-Qing Hua, “Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014.
- Wei Wei, H. M. Srivastava, Yunyi Zhang, Lei Wang, Peiyi Shen, and Jing Zhang, “A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014.
- Guang-Sheng Chen, H. M. Srivastava, Pin Wang, and Wei Wei, “Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014.
- Yu Zhang, “Solving Initial-Boundary Value Problems for Local Fractional Differential Equation by Local Fractional Fourier Series Method,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014.
- Adem Kılıçman, and Wedad Saleh, “Some generalized Hermite-Hadamard type integral inequalities for generalized s-convex functions on fractal sets,” Advances in Difference Equations, vol. 2015, no. 1, 2015.
- Xiao-Jun Yang, Dumitru Baleanu, Mihailo P. Lazarevic, and Milan S. Cajic, “Fractal Boundary Value Problems For Integral And Differential Equations With Local Fractional Operators,” Thermal Science, vol. 19, no. 3, pp. 959–966, 2015.
- Abdullah Akkurt, Mehmet Zeki Sarikaya, Hüseyin Budak, and Hüseyin Yildirim, “Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals,” Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016.
- A. A. Ahmadi Asoor, P. Valipour, S. E. Ghasemi, and D. D. Ganji, “Mathematical Modelling of Carbon Nanotube with Fluid Flow using Keller Box Method: A Vibrational Study,” International Journal of Applied and Computational Mathematics, 2016.
- Mehmet Zeki Sarikaya, Tuba Tunc, and Hüseyin Budak, “On generalized some integral inequalities for local fractional integrals,” Applied Mathematics and Computation, vol. 276, pp. 316–323, 2016.
- Samet Erden, and Mehmet Zeki Sarikaya, “Generalized Pompeiu type inequalities for local fractional integrals and its applications,” Applied Mathematics and Computation, vol. 274, pp. 282–291, 2016.