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Number of results

Journal

2013 | 11 | 10 | 1528-1535

Article title

Existence and uniqueness of a complex fractional system with delay

Content

Title variants

Languages of publication

EN

Abstracts

EN
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.

Publisher

Journal

Year

Volume

11

Issue

10

Pages

1528-1535

Physical description

Dates

published
1 - 10 - 2013
online
19 - 12 - 2013

Contributors

author
  • Institute of Mathematical Sciences, University Malaya, 50603, Kuala Lumpur, Malaysia
author
  • Faculty of Computer Science and Information Technology, University Malaya, 50603, Kuala Lumpur, Malaysia

References

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  • [3] A. Rauh, L. Hannibal, N.B. Abraham, Physica D 99, 45 (1996) http://dx.doi.org/10.1016/S0167-2789(96)00129-7[Crossref]
  • [4] S. Panchey, N.K. Vitanov, J. Calcutta Math. Soc. 1, 121 (2005)
  • [5] E.E. Mahmoud, G.M. Mahmoud, Chaotic and Hyperchaotic Nonlinear Systems (Lambert Academic Publishing, Germany, 2011)
  • [6] C. Liu, T. Liu, L. Liu, K. Liu, Chaos Soliton. Fract. 22, 1031 (2004) http://dx.doi.org/10.1016/j.chaos.2004.02.060[Crossref]
  • [7] X. Wang, M. Wang, Chaos 17, 1 (2007)
  • [8] X. Gao, Appl. Mech. Mater. 1327, 1327 (2011) http://dx.doi.org/10.4028/www.scientific.net/AMM.55-57.1327[Crossref]
  • [9] E.E. Mahmoud, Math. Comput. Model. 55, 1951 (2012) http://dx.doi.org/10.1016/j.mcm.2011.11.053[Crossref]
  • [10] R.W. Ibrahim, Abstr. Appl. Anal. 127103, 1 (2013)
  • [11] H. Haken, Phys. Lett. A 53, 77 (1975) http://dx.doi.org/10.1016/0375-9601(75)90353-9[Crossref]
  • [12] I. Podlubny, Fractional Differential Equations (Academic Press, London and New York, 1999)
  • [13] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and applications of fractional differential equations, (Elsevier, North-Holland, 2006)
  • [14] D. Matignon, Proceedings of the IMACS-SMC’96, 2 (1996)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-013-0252-y
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