Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7374612 | Physica A: Statistical Mechanics and its Applications | 2018 | 22 Pages |
Abstract
The so-called fractional hyperdiffusion equation is presented to develop a fractional derivative model of the transport of energetic particles. The fractional hyperdiffusion equation is defined in terms of Caputo and Riesz fractional derivatives for time and space, respectively. The solution is obtained by using the Laplace-Fourier transforms and given in terms of the M-Wright and Fox's H functions. Profiles of particle densities are illustrated for different values of space-fractional order.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ashraf M. Tawfik, Horst Fichtner, A. Elhanbaly, Reinhard Schlickeiser,