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.