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Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method

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  • Yong-Ju Yang
  • Dumitru Baleanu
  • Xiao-Jun Yang

Abstract

The fractal wave equations with local fractional derivatives are investigated in this paper. The analytical solutions are obtained by using local fractional Fourier series method. The present method is very efficient and accurate to process a class of local fractional differential equations.

Suggested Citation

  • Yong-Ju Yang & Dumitru Baleanu & Xiao-Jun Yang, 2013. "Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:632309
    DOI: 10.1155/2013/632309
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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. Syed Tauseef Mohyud-Din & Muhammad Aslam Noor & Khalida Inayat Noor, 2009. "Some Relatively New Techniques for Nonlinear Problems," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-25, July.
    3. Jumarie, Guy, 2009. "Probability calculus of fractional order and fractional Taylor’s series application to Fokker–Planck equation and information of non-random functions," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1428-1448.
    4. 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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    Citations

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    Cited by:

    1. Meftah, B. & Souahi, A. & Merad, M., 2022. "Some local fractional Maclaurin type inequalities for generalized convex functions and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Erden, Samet & Sarikaya, Mehmet Zeki, 2016. "Generalized Pompeiu type inequalities for local fractional integrals and its applications," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 282-291.
    3. Nabard Habibi & Zohre Nouri, 2020. "Application of Local Fractional Homotopy Perturbation Method in Physical Problems," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    4. Sarikaya, Mehmet Zeki & Tunc, Tuba & Budak, Hüseyin, 2016. "On generalized some integral inequalities for local fractional integrals," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 316-323.

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