On fractional approximations of the Fokker–Planck equation for energetic particle transport
Theoretical Physics Research Group, Mansoura University, 35516, Mansoura, Egypt
Accepted: 8 October 2020
Published online: 13 October 2020
To determine the main effects of anomalous diffusion upon the propagation of energetic particles, the fractional modified telegraph equation is solved using the Laplace–Fourier technique and given in terms of the Fox H and M-Wright functions. Examples are used to illustrate the qualitative differences between the fractional telegraph, fractional advection–diffusion and fractional diffusion equations. The profiles of the particles densities are discussed in each case for different values of fractional orders.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020