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Fractional Modeling of AI-Driven Cyberattack Waves via Atomic Solutions of a Nonseparable Fractional PDE

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  • Ahmad Alshanty

Abstract

We utilize a fractional partial differential equation for modeling the spatiotemporal evolution of AI-driven cyberattacks in networked systems. The model captures fractional scaling effects and the coupling between temporal dynamics and network propagation. Using the atomic solution method, explicit analytical solutions are obtained that exhibit wave-like behavior and persistent attack intensity. Numerical illustrations are included to demonstrate the propagation and intensity patterns described by the model.

Suggested Citation

  • Ahmad Alshanty, 2026. "Fractional Modeling of AI-Driven Cyberattack Waves via Atomic Solutions of a Nonseparable Fractional PDE," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-7, September.
    • Handle: RePEc:hin:jnljam:6828286
    DOI: 10.1155/jama/6828286
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