International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Stability Analysis of Atangana-Baleanu Fractional Delay Differential Equations

  • Wisdom Kevin Udogworen
  • Michael Precious Ineh*
  • Augustine Bwan Panle
  • Adhir Maharaj
  • Ndianabasi Peter

    * Corresponding author

    Abstract

    This work investigates the Ulam-Hyers and generalized Ulam-Hyers-Rassias stability of fractional delay differential equations involving the Atangana-Baleanu derivative with Mittag-Leffler kernel. Numerical simulations validate the theoretical results, showing close agreement between exact and approximate solutions and confirming bounded error behaviour. These findings demonstrate the effectiveness of the Atangana-Baleanu fractional delay framework for modelling systems with memory and delay, particularly in epidemiological and immune response applications.

    How to Cite

    W. K. Udogworen, M. P. Ineh, A. B. Panle, A. Maharaj, N. Peter, Stability Analysis of Atangana-Baleanu Fractional Delay Differential Equations, Int. J. Anal. Appl. 24 (2026), 193. https://doi.org/10.28924/2291-8639-24-2026-193

    BibTeX
    @article{Udogworen2026,
  author  = {Udogworen, Wisdom Kevin and Ineh, Michael Precious and Panle, Augustine Bwan and Maharaj, Adhir and Peter, Ndianabasi},
  title   = {Stability Analysis of Atangana-Baleanu Fractional Delay Differential Equations},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {193},
  doi     = {10.28924/2291-8639-24-2026-193}
}

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