Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
arXiv:1001.2293 · doi:10.1007/978-3-642-03325-4_7
Abstract
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.
10 pages, LaTeX
References in corpus (5)
- On Generalized Fractional Kinetic Equations
- On Fractional Kinetic Equations
- Unified Fractional Kinetic Equation and a Fractional Diffusion Equation
- Solution of generalized fractional reaction-diffusion equations
- Generalized Mittag-Leffler functions in the theory of finite-size scaling for systems with strong anisotropy and/or long-range interaction