- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouv...
Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives
Authors : Javad Alidousti, Reza Khoshsiar Ghaziani, Ali Bayati Eshkaftaki
Pages : 1260-1278
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Stability, Riemann--Liouville derivative, Caputo derivative, ${f cal{F}}$-asymptotically stable