Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model
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.
Fields of Study & Subjects
Network Security and Intrusion Detection
Smart Grid Security and Resilience
Information and Cyber Security
Publication details
- Journal / source
- Journal of Applied Mathematics
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN