Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses

Abstract

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 Grönwall lemma together with integral inequality of Grönwall type for piecewise continuous

functions

Keywords

• Hyers-Ulam stability,Hyers-Ulam-Rassias stability,fractional integrable impulses,Integral inequality of Grönwall type for piecewise continuous functions

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