Fenlon's side lost in the Cup final for the second year running and their 111-year wait for a trophy they last lifted in 1902 continues after a double from Gary Hooper and a Joe Ledley strike saw Celtic come out on top 3-0 to clinch the domestic double.
Neil Lennon's men also impressed on the continental stage this term by reaching the last 16 of the Champions League - including a victory over Barcelona along the way.
Last year at Hampden, Hibs lost 5-1 to Edinburgh neighbours Hearts, but Fenlon felt this defeat was nothing like last year's drubbing.
He said: "There is no comparison. I thought we contributed to the game and we didn't do that last year.
"I can't fault the players for their effort. We are bitterly disappointed that we lost a cup final, but I can't ask any more of the players and the supporters. They were tremendous.
"We are disappointed, but we lost to the better side and there is no shame in losing to Celtic."