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Open Physics

formerly Central European Journal of Physics


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Existence and uniqueness of a complex fractional system with delay

1Institute of Mathematical Sciences, University Malaya, 50603, Kuala Lumpur, Malaysia

2Faculty of Computer Science and Information Technology, University Malaya, 50603, Kuala Lumpur, Malaysia

© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Open Physics. Volume 11, Issue 10, Pages 1528–1535, ISSN (Online) 2391-5471, DOI: 10.2478/s11534-013-0252-y, December 2013

Publication History

Published Online:
2013-12-19

Abstract

Chaotic complex systems are utilized to characterize thermal convection of liquid flows and emulate the physics of lasers. This paper deals with the time-delay of a complex fractional-order Liu system. We have examined its chaos, computed numerical solutions and established the existence and uniqueness of those solutions. Ultimately, we have presented some examples.

Keywords: fractional calculus; fractional differential equations; fractional complex system

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