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Existence and uniqueness of a complex fractional system with delay

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Central European Journal of Physics

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.

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Authors and Affiliations

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

    Rabha W. Ibrahim

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

    Hamid A. Jalab

Authors
  1. Rabha W. Ibrahim
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  2. Hamid A. Jalab
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Corresponding author

Correspondence to Rabha W. Ibrahim.

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Ibrahim, R.W., Jalab, H.A. Existence and uniqueness of a complex fractional system with delay. centr.eur.j.phys. 11, 1528–1535 (2013). https://doi.org/10.2478/s11534-013-0252-y

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  • DOI: https://doi.org/10.2478/s11534-013-0252-y

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