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Solution of Generalized Fractional Reaction-Diffusion Equations

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Abstract

This paper deals with the investigation of a closed form solution of a generalized fractional reaction-diffusion equation. The solution of the proposed problem is developed in a compact form in terms of the H-function by the application of direct and inverse Laplace and Fourier transforms. Fractional order moments and the asymptotic expansion of the solution are also obtained.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, 342005, India

    R. K. Saxena

  2. Department of Mathematics and Statistics, McGill University, Montreal, Canada, H3A 2K6

    A. M. Mathai

  3. Office for Outer Space Affairs, United Nations, P.O. Box 500, A-1400, Vienna, Austria

    H. J. Haubold

Authors
  1. R. K. Saxena
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  2. A. M. Mathai
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  3. H. J. Haubold
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Correspondence to R. K. Saxena.

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Saxena, R.K., Mathai, A.M. & Haubold, H.J. Solution of Generalized Fractional Reaction-Diffusion Equations. Astrophys Space Sci 305, 305–313 (2006). https://doi.org/10.1007/s10509-006-9191-z

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  • DOI: https://doi.org/10.1007/s10509-006-9191-z

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