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- Title
Time-fractional Moore–Gibson–Thompson equations.
- Authors
Kaltenbacher, Barbara; Nikolić, Vanja
- Abstract
In this paper, we consider several time-fractional generalizations of the Jordan–Moore–Gibson–Thompson (JMGT) equations in nonlinear acoustics as well as their linear Moore–Gibson–Thompson (MGT) versions. Following the procedure described in Jordan (2014), these time-fractional acoustic equations are derived from four fractional versions of the Maxwell–Cattaneo law in Compte and Metzler (1997). Additionally to providing well-posedness results for each of them, we also study the respective limits as the fractional order tends to one, leading to the classical third order in time (J)MGT equation.
- Subjects
JORDAN; NONLINEAR acoustics; NONLINEAR equations; EQUATIONS
- Publication
Mathematical Models & Methods in Applied Sciences, 2022, Vol 32, Issue 5, p965
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202522500221