He says that he swore an oath about something, but he did not
If a person claims to have sworn an oath, but he actually did not, should he offer expiation?
It is incumbent on the oath-taker to offer expiation when he breaks his oath. No expiation is due if a person claims to have sworn an oath when he actually did not. This is a lie, not an oath. In this case, the person should expiate for his sin by seeking forgiveness from Allaah The Exalted and turning to Him in repentance. Allaah Knows best.