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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.
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 -