AQEEL AHMAD
Articles written in Pramana – Journal of Physics
Volume 94 All articles Published: 24 November 2020 Article ID 0164 Research Article
Dynamical behaviour of fractional-order finance system
MUHAMMAD FARMAN ALI AKGUL MUHAMMAD UMER SALEEM SUMAIYAH IMTIAZ AQEEL AHMAD
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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