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On solutions of linear fractional differential equations and systems thereof

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Abstract

We derive exact solutions to classes of linear fractional differential equations and systems thereof expressed in terms of generalized Wright functions and Fox H-functions. These solutions are invariant solutions of diffusion-wave equations obtained through certain transformations, which are briefly discussed. We show that the solutions given in this work contain previously known results as particular cases.

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Authors and Affiliations

  1. Department of Applied Mathematics, National University of Mongolia, Ulan Bator, Mongolia

    Khongorzul Dorjgotov

  2. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Ochiai Hiroyuki

  3. Department of Mathematics, National University of Mongolia, Ulan Bator, Mongolia

    Zunderiya Uuganbayar

  4. Center of Mathematics for Applications, National University of Mongolia, Ulan Bator, Mongolia

    Khongorzul Dorjgotov & Zunderiya Uuganbayar

Authors
  1. Khongorzul Dorjgotov
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  2. Ochiai Hiroyuki
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  3. Zunderiya Uuganbayar
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Correspondence to Khongorzul Dorjgotov.

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Dorjgotov, K., Hiroyuki, O. & Uuganbayar, Z. On solutions of linear fractional differential equations and systems thereof. FCAA 22, 479–494 (2019). https://doi.org/10.1515/fca-2019-0028

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  • DOI: https://doi.org/10.1515/fca-2019-0028

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