Article citationsMore>>

Agarwal, R., Hristova, S. and O’Regan, D. (2020) Existence and Integral Representation of Scalar Riemann-Liouville Fractional Differential Equations with Delays and Impulses. Mathematics, 8, 607.
https://doi.org/10.3390/math8040607

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.