Aboodh transform and the stability of second order linear differential equations

Advances in Difference Equations

article

Murali, Ramdoss¹  Selvan, Arumugam Ponmana²  Park, Choonkil³  Lee, Jung Rye⁴ 

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

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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】

CC BY