New conditions for the exponential stability of fractionally perturbed ODEs
The aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - frakcionált |
| doi: | 10.14232/ejqtde.2018.1.84 |
| Online Access: | http://acta.bibl.u-szeged.hu/56896 |
| Tartalmi kivonat: | The aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they are polynomially bounded. In their proofs we apply a method recently developed by Rigoberto Medina. We also prove an existence result for this type of equations. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 1-14 |
| ISSN: | 1417-3875 |