Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives

Authors

JAVAD ALIDOUSTI
REZA KHOSHSIAR GHAZIANI
ALI BAYATI ESHKAFTAKI

DOI

10.3906/mat-1510-5

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, ${\bf \cal{F}}$-asymptotically stable

First Page

1260

Last Page

1278

Recommended Citation

ALIDOUSTI, JAVAD; GHAZIANI, REZA KHOSHSIAR; and ESHKAFTAKI, ALI BAYATI (2017) "Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives," Turkish Journal of Mathematics: Vol. 41: No. 5, Article 16. https://doi.org/10.3906/mat-1510-5
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/16