Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 285-299
MSC: Primary 34K37, 34K30; Secondary 34A08, 34G20.
DOI: 10.4064/ap97-3-7
Abstract
The paper establishes a sufficient condition for the existence of mild solutions of fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Our approach is based on Schaefer's fixed point theorem combined with the use of strongly continuous operator semigroups. As an application, we also consider a fractional partial functional integrodifferential equation.
