Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Autor: Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 222-224 (2024)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2024-0033
Popis: In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions. Additionally, we extend the results to investigate the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of these differential equations using the proposed method.
Databáze: Directory of Open Access Journals