Aboodh transform and the stability of second order linear differential equations

Abstract

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.

Keywords

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