Author(s)

Adel Jawahdou

Department of Mathematics, University of Carthage, Bizerte Preparatory Engineering Institute, Jarzouna, Tunisia.

In this paper, we study the existence of mild solutions for fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators generating compact semigroup on the Banach space. The arguments are based on the Schauder fixed point theorem.

Semilinear Integrodifferential Equations; Mild Solutions; Schauder Fixed Point Theorem

A. Jawahdou, "Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval," Applied Mathematics, Vol. 4 No. 7A, 2013, pp. 34-39. doi: 10.4236/am.2013.47A007.