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

Ahmad Alshanty

Journal of Applied Mathematics, 2026, vol. 2026, 1-7

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.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2026/6828286.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2026/6828286.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:6828286

DOI: 10.1155/jama/6828286

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().