COMPUTATIONAL MODELING OF FINANCIAL SYSTEM VIA A NEW FRACTAL–FRACTIONAL MATHEMATICAL MODEL

Ting Cui and Peijiang Liu
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Ting Cui: School of Economics, Guangdong University of Finance and Economics, Guangzhou, Guangdong 510320, P. R. China
Peijiang Liu: Big Data and Educational Statistics Application Laboratory, School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou, Guangdong 510320, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-23

Abstract: The emergent global economy depends on financial growth. Social and economic development is achieved by a stable, growing, and secure financial chain system. Financial instability poses huge financial inflation and economic decline. The financial crisis and the turbulence of the finance market also result in deterministic instability. This fluctuation during the financial operation may also critically affect the development of the economic system and other sociological and financial stabilities. For the chaotic behavior of the finance system, the mathematical formulation is developed along with controlling terms in this paper. Fitting the controlling parameters, the financial model can be made secure and safe from periodic behavior and will run in chaotic conditions. At the first attempt, the dynamical system and the controlling parameters are adjusted through assigned values and their ranges. Second, the impact of these parameters is studied along with the feasible techniques by graphical representations. The said financial dynamics are investigated in the sense of fractal–fractional derivatives. The concept of Ulam–Hyers stability is also developed for the considered model.

Keywords: Financial System; Fractal–Fractional Operator; Fractional Modeling; Numerical Simulations; Chaotic Behavior; Existence and Uniqueness (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400832

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