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      https://www.ias.ac.in/article/fulltext/pram/094/0164

    • Keywords

       

      Finance system; fractional derivative; Picard–Lindelof; stability analysis; price index

    • 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.

    • Author Affiliations

       

      MUHAMMAD FARMAN1 ALI AKGUL2 MUHAMMAD UMER SALEEM3 SUMAIYAH IMTIAZ1 AQEEL AHMAD1

      1. Department of Mathematics and Statistics, University of Lahore, Lahore 54590, Pakistan
      2. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
      3. Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Pakistan
    • Dates

       
  • Pramana – Journal of Physics | News

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