Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval

Adel Jawahdou

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

DOI: 10.4236/am.2013.47A007                

Abstract

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.

Keywords

Semilinear Integrodifferential Equations; Mild Solutions; Schauder Fixed Point Theorem

Conflicts of Interest

The authors declare no conflicts of interest.

References

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