Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces

Zuomao Yan

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 3, page 285-299
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Zuomao Yan. "Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces." Annales Polonici Mathematici 97.3 (2010): 285-299. <http://eudml.org/doc/280174>.

@article{ZuomaoYan2010,
abstract = {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.},
author = {Zuomao Yan},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {3},
pages = {285-299},
title = {Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces},
url = {http://eudml.org/doc/280174},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Zuomao Yan
TI - Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 3
SP - 285
EP - 299
AB - 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.
LA - eng
UR - http://eudml.org/doc/280174
ER -

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