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Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model

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  • Ahmad Alshanty
  • Waseem Ghazi Alshanti
  • Amjed Zraiqat

Abstract

In this paper, we model edge traffic with a conformable fractional partial differential equation that keeps memory in time and space. The solution represents a unit-free attack pressure, built from a z-scored edge series, a quiet period baseline, and a partially absorbing boundary that reflects scrubbing and rate limits. Using a closed form atomic solution, we split the edge signal into a growth part and a damped part for early warning, and use a simple spatial factor to estimate how far pressure can travel inside. The result is a small, readable model that turns one edge metric into clear, tier-specific actions during DDoS attacks.

Suggested Citation

  • Ahmad Alshanty & Waseem Ghazi Alshanti & Amjed Zraiqat, 2026. "Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-11, January.
    • Handle: RePEc:hin:jnljam:4338391
    DOI: 10.1155/jama/4338391
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