Abstract
A fractional order problem arising in porous media is considered. Well-posedness as well as stability are discussed. Mittag-Leffler stability is proved in case of a strong fractional damping in the displacement component and a fractional frictional one in the volume fraction component. This extends an existing result from the integer-order (second-order) case to the non-integer case. In the absence of the fractional damping in the volume fraction component, it is shown a convergence to zero and a Lyapunov uniform stability.
| Original language | English |
|---|---|
| Pages (from-to) | 2397-2418 |
| Number of pages | 22 |
| Journal | Fractional Calculus and Applied Analysis |
| Volume | 27 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2024 |
Bibliographical note
Publisher Copyright:© Diogenes Co.Ltd 2024.
Keywords
- 26A33 (primary)
- 35B35
- 35B40
- 35L20
- 35R11
- Fractional calculus (primary)
- Fractional partial differential equations
- Lyapunov stability
- Mittag-Leffler stability
- Multiplier technique
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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