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On the invariant solutions of space/time-fractional diffusion equations

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Abstract

This paper is concerned with the space/time-fractional diffusion equations using Lie symmetry analysis. We introduce a generalized nonclassical method that is applied to differential equations with fractional order. The existing methods give some classical symmetries while the nonclassical approach will retrieve other symmetries to these equations. New exact solutions to the fractional diffusion equations are found.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Tabriz, Tabriz, Iran

    Fariba Bahrami & Ramin Najafi

  2. Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran

    Mir Sajjad Hashemi

Authors
  1. Fariba Bahrami
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  2. Ramin Najafi
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  3. Mir Sajjad Hashemi
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Correspondence to Fariba Bahrami.

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Bahrami, F., Najafi, R. & Hashemi, M.S. On the invariant solutions of space/time-fractional diffusion equations. Indian J Phys 91, 1571–1579 (2017). https://doi.org/10.1007/s12648-017-1063-6

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  • DOI: https://doi.org/10.1007/s12648-017-1063-6

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