What question did this study set out to answer?

The aim is to develop a fractional-order model to analyze interactions between stock and cryptocurrency markets, capturing their complex dynamics.

May 24, 2026Open Access

Modeling cross-market capital flows using fractional competition dynamics

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The aim is to develop a fractional-order model to analyze interactions between stock and cryptocurrency markets, capturing their complex dynamics.
Developed a fractional-order Lotka-Volterra competition model using Caputo fractional derivatives.
Incorporated memory effects and capital migration terms.
Investigated the system numerically with the Adams-Bashforth-Moulton predictor-corrector scheme.
Lower fractional orders show stronger memory effects and slower convergence to equilibrium.
Higher orders resemble classical integer-order behavior with rapid adjustments.
Changes in competition coefficients and capital migration rates significantly impact long-term market dominance and equilibrium.

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Implication

Randomized trial models market behavior dynamics in stock and cryptocurrency markets, indicating significant memory effects and equilibrium transitions.

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Human Sciences Research Council (2026) studied this question.

synapsesocial.com/papers/6a1295e248a0ea166567242b https://doi.org/10.14749/32359488

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Implication

Randomized trial models market behavior dynamics in stock and cryptocurrency markets, indicating significant memory effects and equilibrium transitions.

Modeling cross-market capital flows using fractional competition dynamics

Key Points

Discussion

Implication

Cite This Study

Modeling cross-market capital flows using fractional competition dynamics

Key Points

Discussion

Implication

Cite This Study

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