Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform-Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Selvam Arunachalam¹,Sabarinathan Sriramulu¹,Selvan Arumugam Ponmana²

Affiliation:

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

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

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2024-0033/pdf

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