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A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty

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Abstract

In this paper, we introduce a reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty. An algorithm for solving nonlocal fuzzy fractional boundary value problems is presented. The results from numerical examples show that the present method is simple and effective.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11171022).

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Authors and Affiliations

  1. Basic Teaching Department, Beijing College of Finance and Commerce, Beijing, 101101, China

    Min Qi

  2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

    Zhan-Peng Yang & Tian-Zhou Xu

Authors
  1. Min Qi
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  2. Zhan-Peng Yang
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  3. Tian-Zhou Xu
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Correspondence to Zhan-Peng Yang.

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The authors declare that they have no conflict of interest.

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Communicated by V. Loia.

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Qi, M., Yang, ZP. & Xu, TZ. A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty. Soft Comput 21, 4019–4028 (2017). https://doi.org/10.1007/s00500-016-2052-y

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