2019
DOI: 10.1186/s13662-019-2074-8
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Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

Abstract: A new chaotic financial system is proposed by considering ethics involvement in a fourdimensional financial system with market confidence. A five-dimensional conformable derivative financial system is presented by introducing conformable fractional calculus to the integerorder system. A discretization scheme is proposed to calculate numerical solutions of conformable derivative systems. The scheme is illustrated by testing hyperchaos for the system. among interest rates, investments, prices, and savings. Chen … Show more

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Cited by 27 publications
(51 citation statements)
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“…Fourth, we can construct data-driven models of a discrete fractional-order game. At last, we can construct discrete fractional-order models in many scientific fields [29][30][31][32][33].…”
Section: Conclusion and Future Developmentsmentioning
confidence: 99%
“…Fourth, we can construct data-driven models of a discrete fractional-order game. At last, we can construct discrete fractional-order models in many scientific fields [29][30][31][32][33].…”
Section: Conclusion and Future Developmentsmentioning
confidence: 99%
“…Whenever the demand in a joint inventory management system is lower than the average demand in a market, the demand is lower than the average demand. Warehouses can redistribute items originally allocated to one market to another market [34,35]. The process of redistributing inventory in a decentralized management system is not feasible.…”
Section: Inventory Flow Chart Before and After Implementing Joint Invmentioning
confidence: 99%
“…While for γ > 1, MSD grows faster than linearly with time and it is called superdiffusion. Anomalous diffusion (both sub-and superdiffusion) occurs in the mathematics of numerous application fields that see recent developments as financial systems [1], transport of fluids in porous media [2], optical lattices [3] and in epidemiology [4][5][6]. There exist many methods for dealing with anomalous diffusion in different cases: in the presence or the absence of an external velocity or force field we can use methods such as continuous time random walk (CTRW) theory [7,8] which has become as a standard tool to model anomalous diffusion, i.e.…”
Section: Introductionmentioning
confidence: 99%