In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results. Further, an alternative shorter method based on a result developed by the authors is given to derive the solution of a fractional diffusion equation. Fox functions and Mittag-Leffler functions are used for closed-form representations of the solutions of the respective differential equations.
CITATION STYLE
Saxena, R. K., Mathai, A. M., & Haubold, H. J. (2010). Solutions of the fractional reaction equation and the fractional diffusion equation. In Astrophysics and Space Science Proceedings (Vol. 0, pp. 53–62). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-642-03325-4_7
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