Existence of Local and Global Solutions to Fractional Order Integral Equations

In this paper we shall study the existence of local and global solutions of the fractional order integral equations in an arbitrary Banach space by using the semigroup theory of linear operators and Schauder’s fixed point theorem. We also give some examples to illustrate the applications of the abstract results. 2000 AMS Subject Classification: 26A33, 34Gxx, 34G20