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We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.<\/jats:p>","DOI":"10.1155\/2012\/901942","type":"journal-article","created":{"date-parts":[[2012,5,13]],"date-time":"2012-05-13T21:04:04Z","timestamp":1336943044000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Fang","family":"Li","sequence":"first","affiliation":[]},{"given":"Jin","family":"Liang","sequence":"additional","affiliation":[]},{"given":"Tzon-Tzer","family":"Lu","sequence":"additional","affiliation":[]},{"given":"Huan","family":"Zhu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,13]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(98)00227-2"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/00036819008839989"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.04.055"},{"key":"e_1_2_5_4_2","doi-asserted-by":"crossref","DOI":"10.1155\/2011\/784161","article-title":"Nonlocal impulsive Cauchy problems for evolution equations","volume":"2011","author":"Liang J.","year":"2011","journal-title":"Advances in Difference Equations"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2008.05.046"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2004.02.007"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(01)00743-X"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(04)90071-5"},{"key":"e_1_2_5_9_2","doi-asserted-by":"crossref","DOI":"10.1186\/1687-1847-2010-340349","article-title":"Solutions to fractional differential equations with nonlocal initial condition in Banach spaces","volume":"2010","author":"Lv Z. 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