Features of the fractional diffusion-advection equation
M. C. Rocca, A. R. Plastino, A. L. Plastino, G. L. Ferri, A. L. De, Paoli
TL;DR
This paper derives an exact solution for the fractional diffusion-advection equation and demonstrates through numerical analysis that its solutions follow power-law distributions.
Contribution
It provides an explicit solution to the fractional diffusion-advection equation, enhancing understanding of its behavior.
Findings
Solutions resemble power-laws
Exact, explicit form derived
Numerical analysis confirms power-law behavior
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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Taxonomy
TopicsFractional Differential Equations Solutions · Nonlinear Waves and Solitons · Differential Equations and Numerical Methods