TITLE:
Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval
AUTHORS:
Adel Jawahdou
KEYWORDS:
Semilinear Integrodifferential Equations; Mild Solutions; Schauder Fixed Point Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7A,
July
9,
2013
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.