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This paper introduces a fractional mathematical approach for modeling computer virus dynamics, using an operator with a non-singular kernel. By adopting a fractional SEIR model, we effectively capture the memory and hereditary characteristics crucial for understanding complex virus behavior. Rigorous mathematical analysis establishes the solution’s existence and uniqueness via Banach fixed point theory, while Hyers-Ulam-Rassias criteria confirm the model’s stability. This work provides a robust theoretical framework expected to foster new avenues for experimental research and validation in the field of computer science.

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Modeling Computer Viruses: Fractional Approach and Stability Analysis

  • 会议论文

  • 发表日期：

    2026年

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  • Waqas Ali Faridi,
  • Liliana Guran,
  • Abdelkader Belhenniche,
  • Ahmed Boudaoui,
  • Roman Chertovskih

摘要

This paper introduces a fractional mathematical approach for modeling computer virus dynamics, using an operator with a non-singular kernel. By adopting a fractional SEIR model, we effectively capture the memory and hereditary characteristics crucial for understanding complex virus behavior. Rigorous mathematical analysis establishes the solution’s existence and uniqueness via Banach fixed point theory, while Hyers-Ulam-Rassias criteria confirm the model’s stability. This work provides a robust theoretical framework expected to foster new avenues for experimental research and validation in the field of computer science.