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Morgado, M.L., Ford, N.J. and Lima, P.M. (2013) Analysis and Numerical Methods for Fractional Differential Equations with Delay. Journal of Computational and Applied Mathematics, 252, 159-168.
https://doi.org/10.1016/j.cam.2012.06.034

has been cited by the following article:

• TITLE: Practical Mittag-Leffler Stability of Caputo Fractional Differential Equations with State-Dependent Delay and Perturbations

  AUTHORS: Fuhong Zhang, Xiaolan Liu

  KEYWORDS: State-Dependent Delays, Parameter Uncertainties, Lyapunov Functional, LMI

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.16 No.9, September 16, 2026

  ABSTRACT: In this paper, we investigate the locally practical Mittag-Leffler stability for a class of Caputo fractional-order differential equations subject to state-dependent delays and perturbations. By constructing an appropriate Lyapunov functional and employing key lemmas in fractional calculus, we derive a novel stability criterion under a weakened linear matrix inequality (LMI) condition. This criterion provides sufficient conditions for local practical Mittag-Leffler stability. The system state is bounded by the Mittag-Leffler function and the upper bound of perturbations, which can resist the influences of state-dependent delay and bounded perturbations. Finally, two numerical examples are provided to validate the correctness and effectiveness of the main theoretical results.