Temat: Caputo fractional derivative - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Analytical solution of a fractional model of fluid flow through narrowing system in terms of Mittag-Leffler function
Autorzy:: Choudhary, A.
Kumar, D.
Singh, J.
Powiązania:: https://bibliotekanauki.pl/articles/264897.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: transformata Hankela
funkcja Bessela
pochodna Caputo
narrowing system
generalized Caputo fractional derivative
Sumudu transform
finite Hankel transform
Bessel function
Mittag-Leffler function
Opis:: In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes. The solution of the mathematical model is determined with the aid of the Sumudu transform and finite Hankel transform. The results derived in the current study are in compact and graceful forms in terms of the Mittag-Leffler type function, which are convenient for numerical and theoretical evaluation.
Źródło:: International Journal of Applied Mechanics and Engineering; 2020, 25, 1; 1-11
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Application of fractional order theory of thermoelasticity in an elliptical disk and associated thermal stresses
Autorzy:: Thakare, S.
Panke, Y.
Hadke, K.
Powiązania:: https://bibliotekanauki.pl/articles/1839826.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: naprężenia termiczne
pochodna Caputo
termosprężystość
elliptical disk
fractional order theory
Caputo derivative
integral transform
thermal stresses
thermal deflection
Opis:: In this article, a time fractional-order theory of thermoelasticity is applied to an isotropic homogeneous elliptical disk. The lower and upper surfaces of the disk are maintained at zero temperature, whereas the sectional heat supply is applied on the outer curved surface. Thermal deflection and associated thermal stresses are obtained in terms of Mathieu function of the first kind of order 2n. Numerical evaluation is carried out for the temperature distribution, Thermal deflection and thermal stresses and results of the resulting quantities are depicted graphically.
Źródło:: International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 169-180
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Controllability criteria for time-delay fractional systems with a retarded state
Autorzy:: Sikora, B.
Powiązania:: https://bibliotekanauki.pl/articles/330421.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional dynamical systems
controllability criteria
delays in the state
constraints
pseudotransition matrix
Caputo derivative
układ dynamiczny ułamkowy
sterowalność
pochodna ułamkowego rzędu Caputo
Opis:: The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 521-531
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative
Autorzy:: Kaczorek, T.
Borawski, K.
Powiązania:: https://bibliotekanauki.pl/articles/330274.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional system
descriptor system
continuous time
linear system
Caputo–Fabrizio derivative
układ niecałkowitego rzędu
układ deskryptorowy
układ ciągły
układ liniowy
Opis:: The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 533-541
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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