{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:43Z","timestamp":1753881223273,"version":"3.41.2"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,11,21]],"date-time":"2011-11-21T00:00:00Z","timestamp":1321833600000},"content-version":"vor","delay-in-days":324,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>We investigated a singular multipoint boundary value problem for\nfractional differential equation in Banach space. The nonlinear term <jats:italic>f<\/jats:italic>(<jats:italic>t<\/jats:italic>, <jats:italic>x<\/jats:italic>, <jats:italic>y<\/jats:italic>) is\npositive and singular at <jats:italic>x<\/jats:italic> = <jats:italic>\u03b8<\/jats:italic> and (or) <jats:italic>y<\/jats:italic> = <jats:italic>\u03b8<\/jats:italic>. Employing regularization, sequential techniques, and diagonalization methods, we obtained some new existence results of positive solution.<\/jats:p>","DOI":"10.1155\/2011\/352341","type":"journal-article","created":{"date-parts":[[2011,11,21]],"date-time":"2011-11-21T21:01:01Z","timestamp":1321909261000},"update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Positive Solution of Singular Fractional Differential Equation in Banach Space"],"prefix":"10.1155","volume":"2011","author":[{"given":"Jianxin","family":"Cao","sequence":"first","affiliation":[]},{"given":"Haibo","family":"Chen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.08.105"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-0208(06)80001-0"},{"volume-title":"An Introduction to the Fractional Calculus and Fractional Differential Equations","year":"1993","author":"Miller K. 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