Apparently it was not the dog of the king who was treated but the father

" On March 29th, Yedioth Ahronoth reported that a sick dog said to belong to Jordan's King Abdullah was treated at an Israeli hospital. The story was published on Ynetnews as well. A further inquiry into the story revealed that the report was incorrect, prompting Yedioth Ahornoth to issue an apology to its readers." (thanks Sobhi)