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The Yang‐Laplace Transform for Solving the IVPs with Local Fractional Derivative

Author

Listed:
  • Chun-Guang Zhao
  • Ai-Min Yang
  • Hossein Jafari
  • Ahmad Haghbin

Abstract

The IVPs with local fractional derivative are considered in this paper. Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang‐Laplace transform.

Suggested Citation

  • Chun-Guang Zhao & Ai-Min Yang & Hossein Jafari & Ahmad Haghbin, 2014. "The Yang‐Laplace Transform for Solving the IVPs with Local Fractional Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:386459
    DOI: 10.1155/2014/386459
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    References listed on IDEAS

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    1. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Heinz Rutishauser, 1990. "Lectures on Numerical Mathematics," Springer Books, Springer, number 978-1-4612-3468-5 edited by Martin Gutknecht, March.
    3. Abdon Atangana & Adem Kılıçman, 2013. "Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Abdon Atangana & Adem Kılıçman, 2013. "Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, September.
    5. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-130, November.
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    Cited by:

    1. Shao-Hong Yan & Xiao-Hong Chen & Gong-Nan Xie & Carlo Cattani & Xiao-Jun Yang, 2014. "Solving Fokker‐Planck Equations on Cantor Sets Using Local Fractional Decomposition Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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