%0 Journal Article %T Ulam-Hyers stability of fractional impulsive differential equations %A Ding, Yali %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 8 %@ ISSN 2008-1901 %F Ding2018 %X In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality. %9 journal article %R 10.22436/jnsa.011.08.02 %U http://dx.doi.org/10.22436/jnsa.011.08.02 %P 953--959