Applescript : String to Date

You can use the NSDataDetector (a cocoa method) for parsing date from a string.

Here's the script (tested on macOS Sierra):

Warning: on a string which contains "digit/digit/year", the script does not work with a string in the "day/month/year" format, the string must be in the "month/day/year" format

use framework "Foundation"
use scripting additions

(* this script works on these formats: 
"Sunday 10th September 2017", "Sunday 10 September 2017", "Sunday 10 September 17", "September 10th, 2017", "September 10th 2017", "September 10 2017"
 "10th September 2017", "10 September 2017", "10 Sep 17"
 also work with the abbreviation ( e.g. Sep instead of September and Sun instead of Sunday) 
 also work with the localized name of (the month and the day)

"09/10/2017", "09.10.2017", "09-10-2017" : month_day_year only,  or "2016/05/22", "2016-05-22", "2016.05.22" : year_month_day only 
( month and days could be one or two digits)
*)

set myString to "Nov 5th, 2005"
set dateString to my stringToDate(myString) --> "05/11/2005"

on stringToDate(thisString) -- 
    tell current application
        -- **  finds all the matches for a date, the result is a NSArray ** 
        set m to its ((NSDataDetector's dataDetectorWithTypes:(its NSTextCheckingTypeDate) |error|:(missing value))'s matchesInString:thisString options:0 range:{0, length of thisString})
        if (count m) > 0 then
            set d to (item 1 of m)'s |date|() -- get the NSDate of the first item 
            set df to its NSDateFormatter's new() -- create a NSDateFormatter 
            df's setDateFormat:"dd/MM/yyyy" -- a specified output format: "day/month/year" (day and month = two digits, year = 4 digits)
            return (df's stringFromDate:d) as text
        end if
    end tell
    return "" -- no match in this string
end stringToDate

Your script probably won't return a date...

set myOwnDate to date (myOwnDate)

That won't work...

... but you can convert it to a date when you apply it to the property of an item whose format is a date. For example:

    set myOwnDate to "10/09/2017" as string
    set dt to path to desktop
    tell application "Finder"
      set the modification date of (alias (dt & "myFile.txt" as string)) to (date myOwnDate) 
    end tell

This worked for me.