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Numerical Inversion for the Multiple Fractional Orders in the Multiterm TFDE

Author

Listed:
  • Chunlong Sun
  • Gongsheng Li
  • Xianzheng Jia

Abstract

The fractional order in a fractional diffusion model is a key parameter which characterizes the anomalous diffusion behaviors. This paper deals with an inverse problem of determining the multiple fractional orders in the multiterm time-fractional diffusion equation (TFDE for short) from numerics. The homotopy regularization algorithm is applied to solve the inversion problem using the finite data at one interior point in the space domain. The inversion fractional orders with random noisy data give good approximations to the exact order demonstrating the efficiency of the inversion algorithm and numerical stability of the inversion problem.

Suggested Citation

  • Chunlong Sun & Gongsheng Li & Xianzheng Jia, 2017. "Numerical Inversion for the Multiple Fractional Orders in the Multiterm TFDE," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-7, August.
    • Handle: RePEc:hin:jnlamp:3204959
    DOI: 10.1155/2017/3204959
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