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Aboodh transform and the stability of second order linear differential equationsopen access

Authors
Murali, RamdossSelvan, Arumugam PonmanaPark, ChoonkilLee, Jung Rye
Issue Date
Jun-2021
Publisher
Springer Science and Business Media Deutschland GmbH
Keywords
Hyers–Ulam–Rassias stability; Mittag-Leffler–Hyers–Ulam–Rassias stability; Aboodh transform; Linear differential equation
Citation
Advances in Difference Equations, v.2021, no.1, pp.1 - 18
Indexed
SCIE
SCOPUS
Journal Title
Advances in Difference Equations
Volume
2021
Number
1
Start Page
1
End Page
18
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/141798
DOI
10.1186/s13662-021-03451-4
ISSN
1687-1839
Abstract
In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias stability of second order linear differential equations.
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