Article ID: MTJPAM-D-22-00031

Title: Mahgoub Transform Method for the Hyers-Ulam Stability of Differential Equations


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-22-00031; Volume 4 / Issue 3 / Year 2022, Pages 263-269

Document Type: Research Paper

Author(s): Ponmana Selvan Arumugam a , Sandra Pinelas b

aDepartment of Mathematics, Kings Engineering College, Irungattukottai, Sri Perumbudur, Chennai – 602 117, Tamil Nadu, India

bDepartment of Exact Science and Engineering, Academia Militar, Lisboa, 2720-113, Amadora, Portugal

Received: 19 September 2022, Accepted: 16 December 2022, Published: 4 February 2023.

Corresponding Author: Sandra Pinelas (Email address: sandra.pinelas@gmail.com)

Full Text: PDF

Abstract

In this paper we prove the Hyers-Ulam stability of general second-order linear differential equations by using Mahgoub integral transform method. Furthermore we provide some examples to illustrate main results.

Keywords: Hyers-Ulam stability, Second-order linear differential equations, Mahgoub integral transformation

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