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Hyers-Ulam Stability of First-Order Non-Linear Delay Differential Equations with Fractional Integrable Impulses
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2017
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Time Delay SystemFractional-order SystemFractional DynamicHyers-ulam StabilityFractional Integrable ImpulsesFractional StochasticsIntegral InequalityPiecewise Continuous FunctionsImpulsive SystemStability
This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of first-order non-linear delay differential equations with fractional integrable impulses. Our approach uses abstract Gronwall lemma together with integral inequality of Gronwall type for piecewise continuous functions