Abstract
Of concern is a fractional version of a Timoshenko system augmented by a thermal equation. The leading derivatives are fractional between zero and one and one and two. We discuss how we can derive well-posedness results for the problem with and without the viscoelastic term. Moreover, we prove Mittag-Leffler stability results again for both problems. The main difficulty when dealing with memory terms and the difference with the integer case is highlighted.
| Original language | English |
|---|---|
| Article number | 200 |
| Journal | Computational and Applied Mathematics |
| Volume | 40 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2021 |
Bibliographical note
Publisher Copyright:© 2021, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
Keywords
- Caputo fractional derivative
- Mittag-Leffler stability
- Multiplier technique
- Thermo-viscoelasticity
- Timoshenko system
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Well-posedness and stability for a fractional thermo-viscoelastic Timoshenko problem'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver