THERMAL SCIENCE
International Scientific Journal
ANALYSIS AND CONTROL OF FINANCIAL STABILITY BASED ON NON-LINEAR DIFFERENTIAL DYNAMICAL SYSTEMS
ABSTRACT
As a complex system with multi-body interactions, the financial market functions in accordance with the non-linear differential dynamical system characteristics and properties. Although the financial market is a complex system with multiple constraints and perturbations, it is subject to a number of universal laws. This paper introduces fractional-order non-linear differential dynamical systems as a means of modeling and analyzing financial stability, as well as exploring the dynamical characteristics and large-time behavior of complex financial systems. Empirical simulation analysis and testing of econometrics serve to verify the scientific validity of this stochastic process.
KEYWORDS
PAPER SUBMITTED: 2023-06-01
PAPER REVISED: 2024-04-20
PAPER ACCEPTED: 2024-07-20
PUBLISHED ONLINE: 2025-07-06
THERMAL SCIENCE YEAR
2025, VOLUME
29, ISSUE
Issue 3, PAGES [1783 - 1792]
- Samuelson, P. A., Law of Conservation of the Capital-Output Ratio, Proc. Natl. Acad. Sci. Appl. Math. Sci., 67 (1970), 3, pp. 1477-1479
- Wu, Y., et al., A Remark on Samuelson's Variational Principle in Economics, Applied Mathematics Letters, 84 (2018), Oct., pp. 143-147
- Qin, S. T., Ge, Y., A Novel Approach to Markowitz Portfolio Model without Using Lagrange Multipliers, Int. J. Non-linear Sci. Numer., 11 (2010), Suppl., pp. S331-S334
- Anjum, N., et al., Two-Scale Fractal Theory for the Population Dynamics, Fractals, 29 (2021), 7, 2150182
- He, J.-H., et al., Evans Model for Dynamic Economics Revised, AIMS Mathematics, 6 (2021), 9, pp. 9194-9206
- Das, A., Saha, A., Dynamical Survey of the Dual Power Zakharov-Kuznetsov-Burgers Equation with External Periodic Perturbation, Comput. Math. Appl., 76 (2022), 5, pp. 1174-1193
- Matychyn, I., Onyshchenko, V., Optimal Control of Linear Systems with Fractional Derivatives, Fractional Calculus and Applied Analysis, 21 (2018), 1, pp. 134-150
- Bernardo, A. E., Chowdhry, B., Resources, Real Options, and Corporate Strategy, Journal of Financial Economics, 63 (2002), 2, pp. 211-234
- Borman, W. C., Motowidlo, S. J., Task Performance and Contextual Performance: The Meaning for Personnel Selection Research, Human Performance, 10 (1997), 2, pp. 99-109
- Zhu, Y. G., Uncertain Fractional Differential Equations and an Interest Rate Model, Mathematical Methods in the Applied Science, 38 (2023), 15, pp. 3359-3368
- Holderness, C. G., Equity Issuances and Agency Costs: The Telling Story of Shareholder Approval Around the World, Journal of Financial Economics, 129 (2018), 3, pp. 415-439
- Lane, P. J., et al., The Reification of Absorptive Capacity: A Critical Review and Rejuvenation of the Construct, Academy of Management Review, 31 (2016), 4, pp. 833-863
- Marchica, M. T., Mura, R., Financial Flexibility, Investment Ability, and Firm Value: Evidence from Firms with Spare Debt Capacity, Financial Management, 39 (2020), 4, pp. 1339-1365
- Nickell, S. J., Competition and Corporate Performance, Journal of Political Economy, 104 (2016), 4, pp. 724-746
- Machado, J., Handbook of Fractional Calculus with Applications, De Gruyter, Berlin, 2019
- Kilbas, A., et al., Theory and Application of Fractional Differential Equation, Elsevier Science B. V., Amsterdam, 2006
- He, J.-H., et al., Beyond Laplace and Fourier Transforms: Challenges and Future Prospects, Thermal Science, 27 (2023), 6B, 5075-5089
- Anjum, N., et al., Free Vibration of a Tapered Beam by the Aboodh Transform-Based Variational Iteration Method, Journal of Computational Applied Mechanics, 55 (2024), 3, pp. 440-450
- Ahmad, N. A. W., et al., Optimizing Royalty Payments for Maximum Economic Benefit: A Case Study Utilizing Modified Shooting and Discretization Methods, Advances in Differential Equations and Control Processes, 31 (2024), 4, pp. 563-581