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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-7,
author = {Zuomao Yan},
title = {Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {285-299},
zbl = {1194.34149},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-7}
}
Zuomao Yan. Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Annales Polonici Mathematici, Tome 98 (2010) pp. 285-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-7/