On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces

Zuomao Yan

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 1, page 87-103
  • ISSN: 0066-2216

Abstract

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This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.

How to cite

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Zuomao Yan. "On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces." Annales Polonici Mathematici 101.1 (2011): 87-103. <http://eudml.org/doc/280159>.

@article{ZuomaoYan2011,
abstract = {This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.},
author = {Zuomao Yan},
journal = {Annales Polonici Mathematici},
keywords = {fractional integrodifferential inclusion; fractional derivative; fixed point; nonlocal condition},
language = {eng},
number = {1},
pages = {87-103},
title = {On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces},
url = {http://eudml.org/doc/280159},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Zuomao Yan
TI - On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 1
SP - 87
EP - 103
AB - This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
LA - eng
KW - fractional integrodifferential inclusion; fractional derivative; fixed point; nonlocal condition
UR - http://eudml.org/doc/280159
ER -

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