Existence results for fractional functional
integrodifferential equations
with nonlocal conditions in Banach spaces
Annales Polonici Mathematici, Tome 97 (2010) no. 3, pp. 285-299
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
paper establishes sufficient condition existence mild solutions fractional functional integrodifferential equations nonlocal conditions banach spaces approach based schaefers fixed point theorem combined strongly continuous operator semigroups application consider fractional partial functional integrodifferential equation
Affiliations des auteurs :
Zuomao Yan 1
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author = {Zuomao Yan},
title = {Existence results for fractional functional
integrodifferential equations
with nonlocal conditions in {Banach} spaces},
journal = {Annales Polonici Mathematici},
pages = {285--299},
publisher = {mathdoc},
volume = {97},
number = {3},
year = {2010},
doi = {10.4064/ap97-3-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap97-3-7/}
}
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Zuomao Yan. Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Annales Polonici Mathematici, Tome 97 (2010) no. 3, pp. 285-299. doi: 10.4064/ap97-3-7
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