Aboodh transform and the stability of second order linear differential equations
R. Murali, A. Ponmana Selvan, Choonkil Park, Jung Rye Lee
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.
Topics & Concepts
MathematicsStability (learning theory)Ordinary differential equationLinear differential equationIntegral transformOrder (exchange)Partial differential equationApplied mathematicsMathematical analysisDifferential equationComputer scienceFinanceMachine learningEconomicsFunctional Equations Stability Results