{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,11]],"date-time":"2024-01-11T14:00:44Z","timestamp":1704981644688},"reference-count":29,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2012LWN56","BK20130170"],"award-info":[{"award-number":["2012LWN56","BK20130170"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two conesK<\/mml:mi>1<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>,K<\/mml:mi>2<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>and computing the fixed point index in product coneK<\/mml:mi>1<\/mml:mn><\/mml:msub>\u00d7<\/mml:mo>K<\/mml:mi>2<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>, we obtain that the system has a pair of positive solutions. It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite.<\/jats:p>","DOI":"10.1155\/2014\/790862","type":"journal-article","created":{"date-parts":[[2014,5,12]],"date-time":"2014-05-12T21:06:02Z","timestamp":1399928762000},"page":"1-7","source":"Crossref","is-referenced-by-count":6,"title":["Positive Solutions for Coupled Nonlinear Fractional Differential Equations"],"prefix":"10.1155","volume":"2014","author":[{"given":"Wenning","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}]},{"given":"Xingjie","family":"Yan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}]},{"given":"Wei","family":"Qi","sequence":"additional","affiliation":[{"name":"Department of Physics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00180-4"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.02.052"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1996.0456"},{"key":"21","series-title":"Theorey and Applications","year":"1993"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00583-8"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.05.027"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.01.007"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7123"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-008-0104-x"},{"key":"15","volume":"204","year":"2006"},{"key":"16","first-page":"381","year":"1964"},{"key":"20","volume":"2008, article 146","year":"2008","journal-title":"Electronic Journal of Differential Equations"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.03.030"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/s11117-008-2030-4"},{"key":"10","volume":"2011","year":"2011","journal-title":"Boundary Value Problems"},{"key":"12","year":"2004"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.07.033"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1155\/2009\/494720"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.06.029"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.06.034"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.01.103"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/186928"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.10.011"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.11.021"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.02.004"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.03.016"},{"issue":"2","key":"7","doi-asserted-by":"crossref","first-page":"267","DOI":"10.12775\/TMNA.2009.042","volume":"34","year":"2009","journal-title":"Topological Methods in Nonlinear Analysis"},{"key":"8","year":"1985"},{"key":"19","year":"1993"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/790862.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/790862.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/790862.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T23:13:25Z","timestamp":1589238805000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/790862\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":29,"alternative-id":["790862","790862"],"URL":"https:\/\/doi.org\/10.1155\/2014\/790862","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}