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Mittag-Leffler-Hyers-Ulam stability of differential equation using Fourier transformopen access

Authors
Mohanapriya, ArusamyPark, ChoonkilGanesh, AnumanthappaGovindan, Vediyappan
Issue Date
Jul-2020
Publisher
SPRINGER
Keywords
Mittag-Leffler-Hyers-Ulam stability; Fourier transform; Differential equation
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v.2020, no.1, pp.1 - 16
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Volume
2020
Number
1
Start Page
1
End Page
16
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145457
DOI
10.1186/s13662-020-02854-z
ISSN
1687-1839
Abstract
This research paper aims to present the results on the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of linear differential equations of first, second, andnth order by the Fourier transform method. Moreover, the stability constant of such equations is obtained. Some examples are given to illustrate the main results.
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