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

Year 2018, Volume: 47 Issue: 5, 1196 - 1205, 16.10.2018

Akbar Zada Syed Omar Shah

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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