Temat: Caputo fractional derivative operator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Growth of solutions of a class of linear fractional differential equations with polynomial coefficients
Autorzy:: Hamouda, Saada
Mahmoudi, Sofiane
Powiązania:: https://bibliotekanauki.pl/articles/2216191.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: linear fractional differential equations
growth of solutions
Caputo fractional derivative operator
Opis:: This paper is devoted to the study of the growth of solutions of certain class of linear fractional differential equations with polynomial coefficients involving the Caputo fractional derivatives by using the generalized Wiman–Valiron theorem in the fractional calculus.
Źródło:: Opuscula Mathematica; 2022, 42, 3; 415-426
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
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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