Hyers–Ulam stability of first-order linear differential equations using Aboodh transform

被引：0
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作者：
Ramdoss Murali
Arumugam Ponmana Selvan
Sanmugam Baskaran
Choonkil Park
Jung Rye Lee
机构：
[1] Sacred Heart College (Autonomous,PG and Research Department of Mathematics
[2] Sri Sai Ram Institute of Technology,Department of Mathematics
[3] Hanyang University,Research Institute for Natural Sciences
[4] Daejin University,Department of Data Science
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Hyers–Ulam stability; Mittag-Leffler–Hyers–Ulam–Rassias stability; Aboodh transform; Linear differential equation; 34K20; 26D10; 39B82; 44A10; 34A40; 39A30;
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摘要：
The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform method. We also obtain the Hyers–Ulam stability constants of these differential equations using the Aboodh transform and some examples to illustrate our main results are given.
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