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Local Fractional Fourier Series Method for Solving Nonlinear Equations with Local Fractional Operators

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  • Yong-Ju Yang
  • Shun-Qin Wang

Abstract

We apply the local fractional Fourier series method for solving nonlinear equation with local fractional operators. This method is the coupling of the local fractional Fourier series expansion method with other methods, such as the Yang-Laplace transformation method and the local fractional power series method, which effectively separates the variables of partial differential equation. Some testing nonlinear equations and equation systems are given to demonstrate the accuracy and applicability of the proposed approach.

Suggested Citation

  • Yong-Ju Yang & Shun-Qin Wang, 2015. "Local Fractional Fourier Series Method for Solving Nonlinear Equations with Local Fractional Operators," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:481905
    DOI: 10.1155/2015/481905
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