This paper discusses the existence of mild solutions for a class of semilinear fractional evolution equations with nonlocal initial conditions in an arbitrary Banach space. We assume that the linear part generates an equicontinuous semigroup, and the nonlinear part satisfies noncompactness measure conditions and appropriate growth conditions. An example to illustrate the applications of the abstract result is also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-1-2,
author = {Pengyu Chen and Yongxiang Li and Qiang Li},
title = {Existence of mild solutions for fractional evolution equations with nonlocal initial conditions},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {13-24},
zbl = {1293.34009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-1-2}
}
Pengyu Chen; Yongxiang Li; Qiang Li. Existence of mild solutions for fractional evolution equations with nonlocal initial conditions. Annales Polonici Mathematici, Tome 111 (2014) pp. 13-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-1-2/