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arxiv: 1412.0255 · v1 · submitted 2014-11-30 · 🌌 astro-ph.HE · cond-mat.stat-mech· hep-th· math-ph· math.MP

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

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classification 🌌 astro-ph.HE cond-mat.stat-mechhep-thmath-phmath.MP
keywords generalsolutioncitecosmic-raydiffusion-advectionequationfractionalle2014
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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.

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