Hyers-Ulam-Rassias stability of impulsive Fredholm integral equations on finite intervals
Rahim Shah, Natasha Irshad, Hajra Abbasi
Abstract
The main aim of this paper is to establish the Hyers-Ulam-Rassias and Hyers-Ulam stability of certain homogeneous and non-homogeneous impulsive Fredholm integral equations by using a fixed-point method. Both Hyers-Ulam-Rassias stability and Hyers-Ulam stability are obtained for such a class of Fredholm integral equations when considered on a finite interval. Finally four examples are presented to support the usability of our results.
Topics & Concepts
MathematicsFredholm integral equationStability (learning theory)HomogeneousClass (philosophy)Integral equationFredholm theoryInterval (graph theory)Mathematical analysisPoint (geometry)Pure mathematicsCombinatoricsGeometryComputer scienceMachine learningArtificial intelligenceFunctional Equations Stability ResultsNumerical methods for differential equationsNonlinear Differential Equations Analysis