Article

THE SIGNIFICANCE OF OPTIMAL ALGORITHMS FOR FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS IN MODELING DYNAMIC PROCESSES IN THE FINANCIAL MARKET

Murodulla BoboqulovTashkent branch of Samarkand State University of Veterinary Medicine

Nashrlarjournal2026en

ABI

Abstract

Modern financial markets exhibit complex, non-linear behaviors that classical integer-order models often fail to capture adequately. The application of fractional- order differential equations (FODEs) has emerged as a superior mathematical framework due to its inherent ability to model "memory effects" and long-range dependencies in asset price fluctuations. This research focuses on the critical role of optimal algorithms in solving these equations to enhance the predictive accuracy of financial models.

Topics

Financial Risk and Volatility Modeling Stock Market Forecasting Methods Stochastic processes and financial applications

Identifiers

DOI: 10.60078/2026-vol5-iss3-pp391-392

Citations and references

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