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General Solution of a Fractional Diffusion-Advection Equation for Solar Cosmic-Ray Transport

High Energy Astrophysical Phenomena 2016-01-28 v1 Statistical Mechanics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In this effort we exactly solve the fractional diffusion-advection equation for solar cosmic-ray transport proposed in \cite{LE2014} and give its {\it general solution} in terms of hypergeometric distributions. Also, we regain all the results and approximations given in \cite{LE2014} as {\it particular cases} of our general solution.

Keywords

Cite

@article{arxiv.1412.0255,
  title  = {General Solution of a Fractional Diffusion-Advection Equation for Solar Cosmic-Ray Transport},
  author = {M. C. Rocca and A. R. Plastino and A. Plastino and A. L. De Paoli},
  journal= {arXiv preprint arXiv:1412.0255},
  year   = {2016}
}

Comments

12 pages, no figures