The G&G Model: A Potential-Based Resolution of Fractional Governance Fields With Entropic Noise and Stochastic Control for Digital Regulation in Africa

Glody Singa and Gilles Bokolo Tamba

International Journal of Differential Equations, 2026, vol. 2026, 1-26

Abstract: Our paper introduces a mathematical governance model for digital regulation in Africa by extending the previous G&G model to capture digital propagation effects on social behavior. The model derives from a coupled pseudohyperbolic fractional-type equations with memory and stochastic noise, reduced via a latent potential Φ to link temporal connectivity and spatial dynamics. Analytical and numerical methods, including Hamilton–Jacobi–Bellman theory, show that multiplicative noise and entropy significantly shape system behavior and optimal strategies. The results provide an operational framework for adaptive, resilient digital governance by African Multistakeholder Groups.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:9409699

DOI: 10.1155/ijde/9409699

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