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A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators

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

Abstract

The local fractional variational iteration method for local fractional Laplace equation is investigated in this paper. The operators are described in the sense of local fractional operators. The obtained results reveal that the method is very effective.

Suggested Citation

  • Yong-Ju Yang & Dumitru Baleanu & Xiao-Jun Yang, 2013. "A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:202650
    DOI: 10.1155/2013/202650
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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. Jie Fan & Jihuan He, 2012. "Fractal Derivative Model for Air Permeability in Hierarchic Porous Media," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, November.
    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.
    5. Jie Fan & Jihuan He, 2012. "Fractal Derivative Model for Air Permeability in Hierarchic Porous Media," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
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    Citations

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    Cited by:

    1. Ai-Min Yang & Yu-Zhu Zhang & Xiao-Long Zhang, 2014. "The Nondifferentiable Solution for Local Fractional Tricomi Equation Arising in Fractal Transonic Flow by Local Fractional Variational Iteration Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    2. Li Chen & Yang Zhao & Hossein Jafari & J. A. Tenreiro Machado & Xiao-Jun Yang, 2014. "Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Yong-Ju Yang & Liu-Qing Hua, 2014. "Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Ai-Min Yang & Zeng-Shun Chen & H. M. Srivastava & Xiao-Jun Yang, 2013. "Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. 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).
    6. Sheng-Ping Yan & Hossein Jafari & Hassan Kamil Jassim, 2014. "Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    7. Ya-Juan Hao & H. M. Srivastava & Hossein Jafari & Xiao-Jun Yang, 2013. "Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor‐Type Cylindrical Coordinates," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).

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