how to add datepicker to stronly type textbox

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MVC4

I have added jquery datepicker to textbox, datepicker display the selected date into textbox but the date value does not bind to actual value property of the input text.
hence selected date value can not get into controller after form submit

i am using following way to use textbox

@Html.TextBoxFor(m=>m.Date,new{@class="form-control", @type="date"})

and model class is

public partial class SpecialDay
    {
        public int ID { get; set; }
        [DisplayFormat(ApplyFormatInEditMode = true, DataFormatString ={0:dd/MM/yyyy};)]
        public System.DateTime Date { get; set; }
        public string StartTime { get; set; }
        public string EndTime { get; set; }
      
    }