Stability Analysis of Distributed Order Fractional Chen System

Joint Authors

Rezazadeh, Hadi
Refahi Sheikhani, A. H.
Aminikhah, Hossein

Source

The Scientific World Journal

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-10-28

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

We first investigate sufficient and necessary conditions of stability of nonlinear distributed order fractional system and then we generalize the integer-order Chen system into the distributed order fractional domain.

Based on the asymptotic stability theory of nonlinear distributed order fractional systems, the stability of distributed order fractional Chen system is discussed.

In addition, we have foundthat chaos exists in the double fractional order Chen system.

Numerical solutions are used to verify the analytical results.

American Psychological Association (APA)

Aminikhah, Hossein& Refahi Sheikhani, A. H.& Rezazadeh, Hadi. 2013. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1033158

Modern Language Association (MLA)

Aminikhah, Hossein…[et al.]. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1033158

American Medical Association (AMA)

Aminikhah, Hossein& Refahi Sheikhani, A. H.& Rezazadeh, Hadi. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1033158

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033158