You can use esapi library and encode your url using the below function. The function ensures that '/' are not lost to encoding while the remainder of the text contents are encoded:
function encodeUrl(url)
{
String arr[] = url.split("/");
String encodedUrl = "";
for(int i = 0; i<arr.length; i++)
{
encodedUrl = encodedUrl + ESAPI.encoder().encodeForHTML(ESAPI.encoder().encodeForURL(arr[i]));
if(i<arr.length-1) encodedUrl = encodedUrl + "/";
}
return url;
}