- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 5
- Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrab...
Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses
Authors : Akbar Zada, Syed Omar Shah
Pages : 1196-1205
View : 11 | Download : 5
Publication Date : 2018-10-16
Article Type : Research
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 functionsKeywords : Hyers-Ulam stability, Hyers-Ulam-Rassias stability, fractional integrable impulses, Integral inequality of Grönwall type for piecewise continuous functions