Temat: Mittag-Leffler stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Mittag-Leffler stability analysis of a class of homogeneous fractional systems
Autorzy:: Fajraoui, Tarek
Ghanmi, Boulbaba
Mabrouk, Fehmi
Omri, Faouzi
Powiązania:: https://bibliotekanauki.pl/articles/1409371.pdf
Data publikacji:: 2021
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: homogeneous fractional systems
Lyapunov homogeneous function
Mittag-Leffler stability
Opis:: In this paper,we start by the research of the existence of Lyapunov homogeneous function for a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.
Źródło:: Archives of Control Sciences; 2021, 31, 2; 401-415
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Mittag-Leffler stability for a Timoshenko problem
Autorzy:: Tatar, Nasser-eddine
Powiązania:: https://bibliotekanauki.pl/articles/1838213.pdf
Data publikacji:: 2021
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: Caputo fractional derivative
Mittag-Leffler stability
multiplier technique
resolvent operator
Opis:: 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.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 219-232
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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