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Synchronization of Time Delayed Fractional Order Chaotic Financial System

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  • Weiwei Zhang
  • Jinde Cao
  • Ahmed Alsaedi
  • Fuad Eid S. Alsaadi

Abstract

The research on a time delayed fractional order financial chaotic system is a hot issue. In this paper, synchronization of time delayed fractional order financial chaotic system is studied. Based on comparison principle of linear fractional equation with delay, by using a fractional order inequality, a sufficient condition is obtained to guarantee the synchronization of master-slave systems. An example is exploited to show the feasibility of the theoretical results.

Suggested Citation

  • Weiwei Zhang & Jinde Cao & Ahmed Alsaedi & Fuad Eid S. Alsaadi, 2017. "Synchronization of Time Delayed Fractional Order Chaotic Financial System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-5, October.
    • Handle: RePEc:hin:jnddns:1230396
    DOI: 10.1155/2017/1230396
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    References listed on IDEAS

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    3. Liang, Song & Wu, Ranchao & Chen, Liping, 2016. "Adaptive pinning synchronization in fractional-order uncertain complex dynamical networks with delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 49-62.
    4. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
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    Cited by:

    1. Joel Perez Padron & Jose Paz Perez & José Javier Pérez Díaz & Atilano Martinez Huerta, 2021. "Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control," Mathematics, MDPI, vol. 9(17), pages 1-15, September.

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