The jqxDateTimeInput provides keyboard navigation once it gains focus(either programmatically or as a result of a user click). When the widget is focused, you can use the keyboard to change the widget's value.

Tab - Like other widgets, the jqxDateTimeInput widget receives focus by tabbing into it. Once focus is received, users will be able to use the keyboard to change the active tab page. A second tab will take the user out of the widget.
Shift+Tab - reverses the direction of the tab order. Once in the widget, a Shift+Tab will take the user to the previous focusable element in the tab order.
Up Arrow key - increases the selected value.
Up Arrow when the popup Calendar is opened - goes to the same day of the week in the previous week. If the user advances past the end of the month they continue into the previous month.
Alt + Up Arrow - closes the popup Calendar.
Down Arrow key - decreases the selected value.
Down Arrow key when the popup Calendar is opened - goes to the same day of the week in the next week. If the user advances past the end of the month they continue into the next month.
Alt + Down Arrow - opens the popup Calendar.
Left Arrow key - moves the selection to the previous value.
Left Arrow key when the popup Calendar is opened - advances one day to the next.
Right Arrow key - moves the selection to the next value.
Right Arrow key when the popup Calendar is opened - advances one day to the next..
Control+Page Up when the popup Calendar is opened - Moves to the same date in the previous year.
Control+Page Down when the popup Calendar is opened - Moves to the same date in the next year.
Home when the popup Calendar is opened - Moves to the first day of the current month.
End when the popup Calendar is opened - Moves to the last day of the current month.
Page Up when the popup Calendar is opened - Moves to the same date in the previous month.
Page Down when the popup Calendar is opened - Moves to the same date in the next month.
Esc key - closes the popup Calendar and cancels the selection.
Enter key - closes the popup Calendar and confirms the selection.
Number keys - manually type date and time when the calendar is closed.
Del key - deletes the date.
Ctrl + Del - sets the selected value to the minimum value.