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

Abstract

Abstract 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.

Keywords

• Hyers–Ulam stability
• Mittag-Leffler–Hyers–Ulam–Rassias stability
• Aboodh transform
• Linear differential equation