The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm

Rong-Nian Wang, De-Han Chen, and Yan Wang. "The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm." Annales Polonici Mathematici 103.2 (2012): 161-173. <http://eudml.org/doc/280257>.

@article{Rong2012,
abstract = {We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.},
author = {Rong-Nian Wang, De-Han Chen, Yan Wang},
journal = {Annales Polonici Mathematici},
keywords = {fractional Cauchy problem; -norm; mild solution; local and global existence},
language = {eng},
number = {2},
pages = {161-173},
title = {The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm},
url = {http://eudml.org/doc/280257},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Rong-Nian Wang
AU - De-Han Chen
AU - Yan Wang
TI - The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 2
SP - 161
EP - 173
AB - We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.
LA - eng
KW - fractional Cauchy problem; -norm; mild solution; local and global existence
UR - http://eudml.org/doc/280257
ER -