You can create an editor template to achieve this.
Create an editor template named TimeNullable.cshtml inside the editortemplate directory where the other templates are located. Use this code
@model DateTime?
<input id="@Html.IdForModel()" name="@Html.NameForModel()" value="@(Model > DateTime.MinValue || Model.HasValue ? Model.Value.ToShortDateString() : null)" />
<script>
$(document).ready(function () {
$("#@Html.IdForModel()").kendoTimePicker({
dateInput: true
});
});
</script>
and decorate your property name with
[UIHint("TimeNullable")]
public DateTime? StartTime{ get; set; }
This should be it. I have not tried it in 3.9 but it should be similar to this