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Dynamical behaviour of fractional-order finance system

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Abstract

In this paper, we developed the fractional-order finance system transmission model. The main objective of this paper is to construct and evaluate a fractional derivative to track the shape of the dynamic chaotic financial system of fractional order. The numerical solution for fractional-order financial system is determined using the Atangana–Baleanu–Caputo (ABC) and Caputo derivatives. Picard–Lindelof’s method shows the existence and uniqueness of the solution. Numerical techniques show that ABC derivative strategy can be used effectively to overcome the risk of investment. An active control strategy for controlling chaos is used in this system. The stabilisation of equilibrium is obtained by both theoretical analysis and simulation results.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Lahore, Lahore, 54590, Pakistan

    Muhammad Farman, Sumaiyah Imtiaz & Aqeel Ahmad

  2. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 , Siirt, Turkey

    Ali Akgül

  3. Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Pakistan

    Muhammad Umer Saleem

Authors
  1. Muhammad Farman
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  2. Ali Akgül
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  3. Muhammad Umer Saleem
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  4. Sumaiyah Imtiaz
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  5. Aqeel Ahmad
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Correspondence to Ali Akgül.

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Farman, M., Akgül, A., Saleem, M.U. et al. Dynamical behaviour of fractional-order finance system. Pramana - J Phys 94, 164 (2020). https://doi.org/10.1007/s12043-020-02030-8

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  • DOI: https://doi.org/10.1007/s12043-020-02030-8

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