Turkish Journal of Mathematics
Abstract
In this paper we establish stability theorems for nonlinear fractional orders systems (FDEs) with Caputo and Riemann--Liouville derivatives. In particular, we derive conditions for $ {\bf \cal{F}}$-stability of nonlinear FDEs. By numerical simulations, we verify numerically our theoretical results on a test example.
DOI
10.3906/mat-1510-5
Keywords
Stability, Riemann--Liouville derivative, Caputo derivative, ${\bf \cal{F}}$-asymptotically stable
First Page
1260
Last Page
1278
Recommended Citation
ALIDOUSTI, J, GHAZIANI, R. K, & ESHKAFTAKI, A. B (2017). Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives. Turkish Journal of Mathematics 41 (5): 1260-1278. https://doi.org/10.3906/mat-1510-5
