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Hatime, N., Melliani, S., Mfadel, A.E. and Elomari, M. (2023) Existence, Uniqueness, and Finite-Time Stability of Solutions for Caputo Fractional Differential Equations with Time Delay. Computational Methods for Differential Equations, 11, 785-802.

has been cited by the following article:

• TITLE: Exact Solutions and Hyers-Ulam Stability of the Nonhomogeneous Riemann-Liouville Fractional Oscillatory Differential Equations with Pure Delay

  AUTHORS: Fang Wang, Yanyan Hu, Qing Fang

  KEYWORDS: Riemann-Liouville Fractional Derivative, Hyers-Ulam Stability, Laplace Transform

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 27, 2025

  ABSTRACT: In this paper, to overcome certain difficulties encountered in previous studies, we first investigate a formula for the Laplace transform of the Riemann-Liouville derivative with a lower limit a . We then obtain the exact solutions of nonhomogeneous Riemann-Liouville fractional differential equations with pure delay. In addition, this paper explores the Hyers-Ulam stability of nonhomogeneous fractional oscillatory differential equations with pure delay.