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Hyers-Ulam-Rassias-Wright Stability for Fractional Oscillation Equation

Author

Listed:
  • Zahra Eidinejad
  • Reza Saadati
  • Rodica Luca

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.

Suggested Citation

  • Zahra Eidinejad & Reza Saadati & Rodica Luca, 2022. "Hyers-Ulam-Rassias-Wright Stability for Fractional Oscillation Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-7, February.
    • Handle: RePEc:hin:jnddns:9412009
    DOI: 10.1155/2022/9412009
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    Cited by:

    1. Zahra Eidinejad & Reza Saadati & Radko Mesiar, 2022. "Optimum Approximation for ς –Lie Homomorphisms and Jordan ς –Lie Homomorphisms in ς –Lie Algebras by Aggregation Control Functions," Mathematics, MDPI, vol. 10(10), pages 1-17, May.
    2. Zahra Eidinejad & Reza Saadati & Radko Mesiar & Pandora Raja, 2023. "Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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