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Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System

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  • Yang Zhao
  • De-Fu Cheng
  • Xiao-Jun Yang

Abstract

The local fractional Schrödinger equations in the one-dimensional Cantorian system are investigated. The approximations solutions are obtained by using the local fractional series expansion method. The obtained solutions show that the present method is an efficient and simple tool for solving the linear partial differentiable equations within the local fractional derivative.

Suggested Citation

  • Yang Zhao & De-Fu Cheng & Xiao-Jun Yang, 2013. "Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-5, September.
    • Handle: RePEc:hin:jnlamp:291386
    DOI: 10.1155/2013/291386
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    Cited by:

    1. Razzaq, Arslan & Rasheed, Tahir & Shaokat, Shahid, 2023. "Generalized Hermite–Hadamard type inequalities for generalized F-convex function via local fractional integrals," Chaos, Solitons & Fractals, Elsevier, vol. 168(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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