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Mittag-Leffler stability and Lyapunov stability for a problem arising in porous media.
- Source :
-
Fractional Calculus & Applied Analysis . Oct2024, Vol. 27 Issue 5, p2397-2418. 22p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 27
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 180005585
- Full Text :
- https://doi.org/10.1007/s13540-024-00299-9