Mittag-Leffler stability for a Timoshenko problem

• Autorzy: Tatar Nasser-eddine

Identyfikatory

DOI

10.34768/amcs-2021-0015

• Języki publikacji: EN

Abstrakty

EN

A Timoshenko system of a fractional order between zero and one is investigated here. Using a fractional version of resolvents, we establish an existence and uniqueness theorem in an appropriate space. Moreover, it is proved that lower order fractional terms (in the rotation component) are capable of stabilizing the system in a Mittag-Leffler fashion. Therefore, they deserve to be called damping terms. This is shown through the introduction of some new functionals and some fractional inequalities, and the establishment of some properties, involving fractional derivatives. In the case of different wave speeds of propagation we obtain convergence to zero.

Słowa kluczowe

EN

Caputo fractional derivative; Mittag-Leffler stability; multiplier technique; resolvent operator

PL

pochodna ułamkowa Caputo; stabilność Mittaga-Lefflera; technika mnożenia; operator rezolucyjny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2021
• Tom: Vol. 31, no. 2
• Strony: 219--232
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Tatar Nasser-eddine

• Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).