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Solving Initial‐Boundary Value Problems for Local Fractional Differential Equation by Local Fractional Fourier Series Method

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  • Yu Zhang

Abstract

The initial‐boundary value problems for the local fractional differential equation are investigated in this paper. The local fractional Fourier series solutions with the nondifferential terms are obtained. Two illustrative examples are given to show efficiency and accuracy of the presented method to process the local fractional differential equations.

Suggested Citation

  • Yu Zhang, 2014. "Solving Initial‐Boundary Value Problems for Local Fractional Differential Equation by Local Fractional Fourier Series Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:912464
    DOI: 10.1155/2014/912464
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    References listed on IDEAS

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    1. Ming-Sheng Hu & Ravi P. Agarwal & Xiao-Jun Yang, 2012. "Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Ming-Sheng Hu & Ravi P. Agarwal & Xiao-Jun Yang, 2012. "Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, December.
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