- Tytuł:
- Analysis and Applications of Composed Forms of Caputo Fractional Derivatives
- Autorzy:
-
Błaszczyk, T.
Kotela, E.
Hall, M. R.
Leszczyński, J. - Powiązania:
- https://bibliotekanauki.pl/articles/387231.pdf
- Data publikacji:
- 2011
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
równanie różniczkowe
pochodne Caputo
difference equation
Caputo derivatives - Opis:
- In this paper we consider two ordinary fractional differential equations with composition of the left and the right Caputo derivatives. Analytical solution of this type of equations is known for particular cases, having a complex form, and therefore is difficult in practical calculations. Here, we present two numerical schemes being dependent on a fractional order of equation. The results of numerical calculations are compared with analytical solutions and then we illustrate convergence of our schemes. Finally, we show an application of the considered equation.
- Źródło:
-
Acta Mechanica et Automatica; 2011, 5, 2; 11-14
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł