Ulam–Hyers Stability of Linear Differential Equation with General Transform-Reference-Cited by-同舟云学术

Ulam–Hyers Stability of Linear Differential Equation with General Transform

Published:2023-11-05 Issue:11 Volume:15 Page:2023
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Pinelas Sandra¹²^ORCID,Selvam Arunachalam³^ORCID,Sabarinathan Sriramulu³^ORCID

Affiliation:

1. Departamento de Ciências Exatas e Engenharia, Academia Militar, 2720-113 Amadora, Portugal

2. Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

3. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur 603 203, Tamil Nadu, India

Abstract

The main aim of this study is to implement the general integral transform technique to determine Ulam-type stability and Ulam–Hyers–Mittag–Leffer stability. We are given suitable examples to validate and support the theoretical results. As an application, the general integral transform is used to find Ulam stability of differential equations arising in Thevenin equivalent electrical circuit system. The results are graphically represented, which provides a clear and thorough explanation of the suggested method.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/11/2023/pdf

Reference31 articles.

1. Ulam, S.M. (1964). Problems in Modern Mathematics, John Wiley and Sons.

2. On the stability of the linear functional equation;Hyers;Proc. Natl. Acad. Sci. USA,1941

3. On the stability of the linear transformation in Banach spaces;Aoki;J. Math. Soc. Jpn.,1950

4. On the stability of the linear mapping in Banach spaces;Rassias;Proc. Am. Math. Soc.,1978

5. Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator;Selvam;Sci. Rep.,2023

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