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Existence of nontrivial solutions for a system of fractional advection–dispersion equations

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Abstract

In this paper, we investigate the existence of nontrivial solutions for a class of fractional advection–dispersion systems. The approach is based on the variational method by introducing a suitable fractional derivative Sobolev space. We take two examples to demonstrate the main results.

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Acknowledgements

Lishan Liu was supported financially by the National Natural Science Foundation of China (11371221). Dexiang Ma was supported financially by the Fundamental Research Funds for the Central Universities (2014MS62).

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Authors and Affiliations

  1. Department of Mathematics, North China Electric Power University, Beijing, 102206, China

    Dexiang Ma

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China

    Lishan Liu

  3. Department of Mathematics and Statistics, Curtin University, Perth, WA, 6845, Australia

    Lishan Liu & Yonghong Wu

Authors
  1. Dexiang Ma
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  2. Lishan Liu
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  3. Yonghong Wu
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Correspondence to Dexiang Ma.

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Ma, D., Liu, L. & Wu, Y. Existence of nontrivial solutions for a system of fractional advection–dispersion equations. RACSAM 113, 1041–1057 (2019). https://doi.org/10.1007/s13398-018-0527-7

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  • DOI: https://doi.org/10.1007/s13398-018-0527-7

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