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

Authors : Akbar ZADA, Syed Omar SHAH

Pages : 1196-1205

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Publication Date : 2018-10-16

Article Type : Research Paper

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