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Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow

Author

Listed:
  • Yang Li
  • Long-Fei Wang
  • Sheng-Da Zeng
  • Yang Zhao

Abstract

We discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. The obtained results show the efficiency and accuracy of implements of the present method.

Suggested Citation

  • Yang Li & Long-Fei Wang & Sheng-Da Zeng & Yang Zhao, 2014. "Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:649318
    DOI: 10.1155/2014/649318
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    References listed on IDEAS

    as
    1. Chun-Ying Long & Yang Zhao & Hossein Jafari, 2014. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Kai Liu & Ren-Jie Hu & Carlo Cattani & Gong-Nan Xie & Xiao-Jun Yang & Yang Zhao, 2014. "Local Fractional Z‐Transforms with Applications to Signals on Cantor Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Long-Fei Wang & Xiao-Jun Yang & Dumitru Baleanu & Carlo Cattani & Yang Zhao, 2014. "Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Kai Liu & Ren-Jie Hu & Carlo Cattani & Gong-Nan Xie & Xiao-Jun Yang & Yang Zhao, 2014. "Local Fractional -Transforms with Applications to Signals on Cantor Sets," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    5. Abdon Atangana & Dumitru Baleanu, 2013. "Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Abdon Atangana & Dumitru Baleanu, 2013. "Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    7. Chun-Ying Long & Yang Zhao & Hossein Jafari, 2014. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    8. Long-Fei Wang & Xiao-Jun Yang & Dumitru Baleanu & Carlo Cattani & Yang Zhao, 2014. "Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
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