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Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus

Author

Listed:
  • Zahir Shah
  • Ebenezer Bonyah
  • Ebraheem Alzahrani
  • Rashid Jan
  • Nasser Aedh Alreshidi
  • Mariya Gubareva

Abstract

In this research work, we formulate the phenomena of the financial system in the fractional framework to describe the complex nature of finance. The basic definitions and ideas of the Caputo-Fabrizio fractional operator are listed. We introduce a novel numerical technique for the dynamical behaviour of our fractional model. The oscillatory and chaotic behaviour of the model is studied with the variation of various input parameters on the model. We have shown that there exists strong oscillatory and chaotic behaviour in the system; moreover, we highlighted the impact of fractional-order parameter on the model. The conditions for the local complex behaviour of the system are analyzed with the impact of certain parameters on the macroeconomic. Our findings suggest that the values of initial conditions, fractional order, and input parameters can lessen the chaos of the proposed financial system.

Suggested Citation

  • Zahir Shah & Ebenezer Bonyah & Ebraheem Alzahrani & Rashid Jan & Nasser Aedh Alreshidi & Mariya Gubareva, 2022. "Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus," Complexity, Hindawi, vol. 2022, pages 1-14, June.
    • Handle: RePEc:hin:complx:8113760
    DOI: 10.1155/2022/8113760
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