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Stability of a time fractional advection-diffusion system.
- Source :
-
Chaos, Solitons & Fractals . Apr2022, Vol. 157, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- • Novel stability result, of 1D fractional-order differential advection-diffusion system in infinite time, is proved on the space L 2 (Ω) × L 2 (Ω). • Novel stability result, of 1D fractional-order differential advection-diffusion system in infinite time, is proved on the space H 1 (Ω) × H 1 (Ω). • Some numerical methods have been implemented and some important numerical experiments have been established to confirm the theoretical results obtained. 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 stability 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ADVECTION-diffusion equations
*CAPUTO fractional derivatives
Subjects
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 157
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 156101420
- Full Text :
- https://doi.org/10.1016/j.chaos.2022.111949