Hyers-Ulam-Rassias-Wright Stability for Fractional Oscillation Equation. (8th February 2022)

• Record Type: Journal Article
• Authors: Eidinejad, Zahra; Saadati, Reza
• Other Names: Luca Rodica Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2022(2022)
• Publication Date: 2022-02-08
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2022/9412009
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : In this paper, we consider the nonhomogeneous fractional delay oscillation equation with order σ and introduce a class of control functions, i.e., Wright functions. Next, we apply the Cădariu-Radu method to prove the existence of a unique solution and Hyers-Ulam-Rassias-Wright stability of the fractional delay oscillation equation. At the end of the article, by an example, we show the application of the obtained results.