{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:27:11Z","timestamp":1760149631341,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,8,26]],"date-time":"2023-08-26T00:00:00Z","timestamp":1693008000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201199","61703180","2022JJ40021","21B0722","1008399"],"award-info":[{"award-number":["12201199","61703180","2022JJ40021","21B0722","1008399"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of the Department of Education of Hunan Province","award":["12201199","61703180","2022JJ40021","21B0722","1008399"],"award-info":[{"award-number":["12201199","61703180","2022JJ40021","21B0722","1008399"]}]},{"name":"Educational Department of Hunan Province of China","award":["12201199","61703180","2022JJ40021","21B0722","1008399"],"award-info":[{"award-number":["12201199","61703180","2022JJ40021","21B0722","1008399"]}]},{"name":"Science and Technology Program of University of Jinan","award":["12201199","61703180","2022JJ40021","21B0722","1008399"],"award-info":[{"award-number":["12201199","61703180","2022JJ40021","21B0722","1008399"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green\u2019s function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer\u2019s fixed-point theorem. Finally, two examples are given to illustrate the main results.<\/jats:p>","DOI":"10.3390\/axioms12090819","type":"journal-article","created":{"date-parts":[[2023,8,28]],"date-time":"2023-08-28T06:57:35Z","timestamp":1693205855000},"page":"819","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green\u2019s Function"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7580-0529","authenticated-orcid":false,"given":"Rian","family":"Yan","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4487-2938","authenticated-orcid":false,"given":"Yige","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Jinan, Jinan 250022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,26]]},"reference":[{"key":"ref_1","unstructured":"Oldham, K.B., and Spanier, J. 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