Fraud means intentional unlawful deception by making false statements to be able to gain something valuable. Some of the examples of fraud are scams in internet sales, credit card, job offers, and identity theft.
Corruption means irresponsible decision-making wherein the person involve tend to change something for the purpose of receiving payment or reward. Some examples of corruption are unauthorized use of public funds as in the case of politicians, and exchanging of favors in order to suffice personal interests.