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

• Autorzy: Selvam Arunachalam , Sabarinathan Sriramulu , Selvan Arumugam Ponmana

Identyfikatory

DOI

10.1515/dema-2024-0033

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fourier transform; Hyers-Ulam and Hyers-Ulam-Rassias stability; Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability; nonlinear differential equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240033
• Opis fizyczny: Bibliogr. 51 poz.

Twórcy

autor

Selvam Arunachalam

• Department of Mathematics, College of Engineering and Technology, SRM Institute of Science & Technology, Kattankulthur – 603 203, Tamil Nadu, India

autor

Sabarinathan Sriramulu

• Department of Mathematics, College of Engineering and Technology, SRM Institute of Science & Technology, Kattankulthur – 603 203, Tamil Nadu, India

autor

Selvan Arumugam Ponmana

• Department of Mathematics, Rajalakshmi Engineering College (Autonomous), Thandalam, Chennai - 602 105, Tamil Nadu, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).