A time-fractional superdiffusion wave-like equation with subdiffusion possibly damping term: well-posedness and Mittag-Leffler stability
- Resource Type
- Original Paper
- Authors
- Frota, C. L.; Silva, M. A. Jorge; Pinheiro, S. B.
- Source
- Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications. 27(3):1236-1266
- Subject
- Time-fractional derivative (primary)
Time-fractional differential equations
Diffusion process
Mittag-Leffler stability
26A33 (primary)
34A08
34K37
35R11
33E12
60G22
- Language
- English
- ISSN
- 1311-0454
1314-2224
In this article, we focus on the application of the recent notion of time-fractional derivative developed in Sobolev spaces to the study of well-posedness and stability for a time-fractional wave-like equation with superdiffusion and subdiffusion terms.