Aboodh transform and the stability of second order linear differential equations

Aboodh transform and the stability of second order linear differential equations

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 eq...

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Veröffentlicht in:Advances in difference equations 2021-06, Vol.2021 (1), p.1-18, Article 296
Hauptverfasser: Murali, Ramdoss, Selvan, Arumugam Ponmana, Park, Choonkil, Lee, Jung Rye
Format: Artikel
Sprache:eng
Schlagworte:
Aboodh transform
Analysis
Difference and Functional Equations
Differential equations
Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations
Functional Analysis
Hyers–Ulam–Rassias stability
Inequality
Integral transforms
Linear differential equation
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Mittag-Leffler–Hyers–Ulam–Rassias stability
Ordinary Differential Equations
Partial Differential Equations
Stability
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Zusammenfassung: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03451-4