Aboodh transform and the stability of second order linear differential equations

Advances in Difference Equations

Jung Rye Lee¹  Arumugam Ponmana Selvan²  Ramdoss Murali³  Choonkil Park⁴ 

[1] Department of Data Science, Daejin University;Department of Mathematics, Sri Sai Ram Institute of Technology;PG and Research Department of Mathematics, Sacred Heart College (Autonomous);Research Institute for Natural Sciences, Hanyang University;

关键词: Hyers–Ulam–Rassias stability;    Mittag-Leffler–Hyers–Ulam–Rassias stability;    Aboodh transform;    Linear differential equation;   

DOI  :  10.1186/s13662-021-03451-4

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown