On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 87-103
MSC: Primary 34A60, 34K05; Secondary 34G25, 26A33.
DOI: 10.4064/ap101-1-9
Abstract
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust–Karlin's fixed point theorem.