Modified Ulam-Hyers-Rassias Stability Analysis of Caputo Impulsive Fractional Delay Differential Equations

Udogworen, Wisdom Kevin; George, Reny

doi:10.28924/2291-8639-24-2026-208

Research Article

Modified Ulam-Hyers-Rassias Stability Analysis of Caputo Impulsive Fractional Delay Differential Equations

Wisdom Kevin Udogworen
Reny George*

* Corresponding author

Abstract

This article discuss the stability analysis of Caputo impulsive fractional delay differential equations using a modified Ulam-Hyers-Rassias stability approach. The effect of perturbations is intrinsically time-dependent due to its nonlocal and memory-dependent nature. The modified Ulam-Hyers-Rassias stability is crucial to fractional calculus. The real-valued function's integrability permits the inclusion of variable perturbations rather than a constant and guarantees that the stability inequality stays well-defined in the fractional situation. Therefore, compared to the classical Ulam-Hyers-Rassias stability technique, the modified approach offers a more realistic and general framework in fractional calculus. The findings contribute to improving the qualitative properties of fractional differential equations with delay factors, impulse disturbances, and memory effects.

Keywords: Caputo derivative; impulsive; fractional delay; modified Ulam-Hyers-Rassias stability

How to Cite

W. K. Udogworen, R. George, Modified Ulam-Hyers-Rassias Stability Analysis of Caputo Impulsive Fractional Delay Differential Equations, Int. J. Anal. Appl. 24 (2026), 208. https://doi.org/10.28924/2291-8639-24-2026-208

BibTeX

@article{Udogworen2026,
  author  = {Udogworen, Wisdom Kevin and George, Reny},
  title   = {Modified Ulam-Hyers-Rassias Stability Analysis of Caputo Impulsive Fractional Delay Differential Equations},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {208},
  doi     = {10.28924/2291-8639-24-2026-208}
}

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