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Authors: .
is a time scale. We use the contraction mapping theorem to obtain stability results about the zero solution for the following neutral nonlinear dynamic equations with unbounded delay 
and
We provide interesting examples to illustrate our claims.
Mathematics Subject Classification (2010): 34K20, 34K30, 34K40.
Keywords: Contraction mapping, nonlinear neutral dynamic equation, integral equation, asymptotic stability, time scale.
