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On Local Fractional Continuous Wavelet Transform

Author

Listed:
  • Xiao-Jun Yang
  • Dumitru Baleanu
  • H. M. Srivastava
  • J. A. Tenreiro Machado

Abstract

We introduce a new wavelet transform within the framework of the local fractional calculus. An illustrative example of local fractional wavelet transform is also presented.

Suggested Citation

  • Xiao-Jun Yang & Dumitru Baleanu & H. M. Srivastava & J. A. Tenreiro Machado, 2013. "On Local Fractional Continuous Wavelet Transform," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:725416
    DOI: 10.1155/2013/725416
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    References listed on IDEAS

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    1. Ai-Min Yang & Xiao-Jun Yang & Zheng-Biao Li, 2013. "Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, June.
    2. Ai-Min Yang & Xiao-Jun Yang & Zheng-Biao Li, 2013. "Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Emilio Jiménez-Macías & Angel Sánchez-Roca & Hipólito Carvajal-Fals & Julio Blanco-Fernández & Eduardo Martínez-Cámara, 2014. "Wavelets Application in Prediction of Friction Stir Welding Parameters of Alloy Joints from Vibroacoustic ANN‐Based Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Wei Wei & H. M. Srivastava & Yunyi Zhang & Lei Wang & Peiyi Shen & Jing Zhang, 2014. "A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Zhi-Yong Chen & Carlo Cattani & Wei-Ping Zhong, 2014. "Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    4. Jinru Wang & Zijuan Geng & Fengfeng Jin, 2014. "Optimal Wavelet Estimation of Density Derivatives for Size‐Biased Data," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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