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Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

Author

Listed:
  • Ai-Min Yang
  • Jie Li
  • H. M. Srivastava
  • Gong-Nan Xie
  • Xiao-Jun Yang

Abstract

The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration method and Laplace transform. The nondifferentiable approximate solutions are obtained and their graphs are also shown.

Suggested Citation

  • Ai-Min Yang & Jie Li & H. M. Srivastava & Gong-Nan Xie & Xiao-Jun Yang, 2014. "Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jnddns:365981
    DOI: 10.1155/2014/365981
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    Cited by:

    1. Kumar, Devendra & Dubey, Ved Prakash & Dubey, Sarvesh & Singh, Jagdev & Alshehri, Ahmed Mohammed, 2023. "Computational analysis of local fractional partial differential equations in realm of fractal calculus," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 296-318.

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