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Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain

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Abstract

We consider the analytical solutions of multi-term time-space fractional reaction-diffusion equations on an infinite domain. The results are presented in a compact and elegant form in terms of the Mittag-Leffler functions. The importance of the derived results lies in the fact that numerous results on fractional reaction, fractional diffusion, fractional wave problems, and fractional telegraph equations scattered in the literature can be derived as special cases of the results presented in this paper.

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Authors and Affiliations

  1. School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi, 710048, China

    Xiao-Li Ding

  2. Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Juan J. Nieto

  3. Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia

    Juan J. Nieto

Authors
  1. Xiao-Li Ding
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  2. Juan J. Nieto
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Correspondence to Xiao-Li Ding.

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Ding, XL., Nieto, J.J. Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain. FCAA 18, 697–716 (2015). https://doi.org/10.1515/fca-2015-0043

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  • DOI: https://doi.org/10.1515/fca-2015-0043

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