- Tytuł:
- Group invariant solution of some time fractional evolution equations
- Autorzy:
-
Mandal, H.
Bira, B. - Powiązania:
- https://bibliotekanauki.pl/articles/122890.pdf
- Data publikacji:
- 2018
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
fractional coupled Burger’s equation
fractional DSSH equations
Riemann Liouville’s fractional derivative
Erdélyi-Kober operator
symmetry analysis
exact solution
równania ewolucji
ułamkowe równania różniczkowe
ułamkowe równania DSSH
pochodna ułamkowa Riemanna Liouville'a
operator Erdélyi-Kober - Opis:
- In this paper, we consider some classes of a system of nonlinear fractional differential equations (FDEs) arising in some important physical phenomena. Using symmetry group of transformations, the given systems of fractional partial differential equations (FPDEs) are reduced to systems of fractional ordinary differential equations (FODEs). Further, using the group invariant condition, we solve the reduced systems of FODEs and exact solutions of the given equations are constructed. Finally, the physical significance of the solutions are investigated graphically based on the exact solutions in order to highlight the importance of the study.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 35-46
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł