Features of the fractional diffusion-advection equation

2015/04/12 by M. C. Rocca, Rocca, M. C., A. Plastino +7
Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #Differential Equations and Numerical Methods #FOS: Physical sciences #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Solar and Stellar Astrophysics (astro-ph.SR) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1504.02999

openalex publication_date 2015/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We advance an exact, explicit form for the solutions to the fractional diffusion-advection equation. Numerical analysis of this equation shows that its solutions resemble power-laws.

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