The current research involves the ideas and principles about integral inequalities of Gronwall type. It deals with the possibilities that we mathematicians use in order to solve equations in various ways. The first case we adopted to solve equations is Linear Generalization. The latter deals with equations that are different from those treated with Non-Linear Generalization. The research we conduct overlaps to study the relation between fractional and Gronwall inequalities by analyzing how Gronwall inequalities are included and used in fractional inequalities. Keywords: Gronwall inequalities, Fractional inequalities, Linear generalizations and Non-Linear generalizations.