Existence of mild solutions for fractional evolution equations with nonlocal initial conditions

Pengyu Chen, Yongxiang Li, and Qiang Li. "Existence of mild solutions for fractional evolution equations with nonlocal initial conditions." Annales Polonici Mathematici 110.1 (2014): 13-24. <http://eudml.org/doc/280652>.

@article{PengyuChen2014,
abstract = {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.},
author = {Pengyu Chen, Yongxiang Li, Qiang Li},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {1},
pages = {13-24},
title = {Existence of mild solutions for fractional evolution equations with nonlocal initial conditions},
url = {http://eudml.org/doc/280652},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Pengyu Chen
AU - Yongxiang Li
AU - Qiang Li
TI - Existence of mild solutions for fractional evolution equations with nonlocal initial conditions
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 1
SP - 13
EP - 24
AB - 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.
LA - eng
UR - http://eudml.org/doc/280652
ER -