Stability of a time fractional advection-diffusion system
Abstract
In this paper, we consider a one dimensional advection-diffusion system in Caputo fractional order derivative. Using a Fourier decomposition and the Mittag-Leffler Function (MLF), we prove a new sta- bility results for the solution of a such system. Numerical experiments were carried out at the end of this work to confirm the theoretical results obtained.
Keywords
Advection-diffusion system Caputo fractional order derivative Fourier decomposition Mittag-Leffler function Stability