Article citationsMore>>

Khusainov, D.Y., Diblík, J., Růžičková, M. and Lukáčová, J. (2008) Representation of a Solution of the Cauchy Problem for an Oscillating System with Pure Delay. Nonlinear Oscillations, 11, 276-285.
https://doi.org/10.1007/s11072-008-0030-8

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.