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

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

This paper proves the Hyers-Ulam stability and Hyers-UlamRassias 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.

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