Adivar M.2023-06-162023-06-1620101417-3875https://doi.org/10.14232/ejqtde.2010.1.7https://hdl.handle.net/20.500.14365/3697Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases T = R and T = Z. Extending the scope of time scale variant of Gronwall's inequality we determine function bounds for the solutions of the integro dynamic equation.eninfo:eu-repo/semantics/openAccessFunction boundsGronwall's inequalityTime scalesVolterra integro dynamic equationsArticle10.14232/ejqtde.2010.1.72-s2.0-77955141554