Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces
Annales Polonici Mathematici, Tome 97 (2010) no. 3, pp. 285-299.

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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.
DOI : 10.4064/ap97-3-7
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

Zuomao Yan 1

1 Department of Mathematics Hexi University Zhangye, Gansu 734000, P.R. China
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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. http://geodesic.mathdoc.fr/articles/10.4064/ap97-3-7/

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