{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:53:43Z","timestamp":1747191223819,"version":"3.40.5"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T00:00:00Z","timestamp":1683676800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2023,5,10]]},"abstract":"The conformable Sturm\u2013Liouville problem (CSLP), \n \n \u2212<\/a:mo>\n \n \n x<\/a:mi>\n <\/a:mrow>\n \n 1<\/a:mn>\n \u2212<\/a:mo>\n \u03b1<\/a:mi>\n <\/a:mrow>\n <\/a:msup>\n \n \n \n \n p<\/a:mi>\n \n \n \n x<\/a:mi>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:mrow>\n \n \n x<\/a:mi>\n <\/a:mrow>\n \n 1<\/a:mn>\n \u2212<\/a:mo>\n \u03b1<\/a:mi>\n <\/a:mrow>\n <\/a:msup>\n \n \n y<\/a:mi>\n <\/a:mrow>\n \n \u2032<\/a:mo>\n <\/a:mrow>\n <\/a:msup>\n \n \n \n x<\/a:mi>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:mrow>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:mrow>\n \n \u2032<\/a:mo>\n <\/a:mrow>\n <\/a:msup>\n =<\/a:mo>\n \n \n \u03bb<\/a:mi>\n \u03c1<\/a:mi>\n \n \n \n x<\/a:mi>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:mrow>\n \u2212<\/a:mo>\n q<\/a:mi>\n \n \n \n x<\/a:mi>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:mrow>\n <\/a:mrow>\n <\/a:mfenced>\n y<\/a:mi>\n \n \n x<\/a:mi>\n <\/a:mrow>\n <\/a:mfenced>\n <\/a:math>\n <\/jats:inline-formula>, for \n \n 0<\/x:mn>\n <<\/x:mo>\n \u03b1<\/x:mi>\n \u2264<\/x:mo>\n 1<\/x:mn>\n <\/x:math>\n <\/jats:inline-formula>, is studied under some certain conditions on the coefficients \n \n p<\/z:mi>\n <\/z:math>\n <\/jats:inline-formula>, \n \n \u03c1<\/bb:mi>\n <\/bb:math>\n <\/jats:inline-formula>, and \n \n q<\/db:mi>\n <\/db:math>\n <\/jats:inline-formula>. According to an interesting idea proposed by P. Binding and H. Volkmer [Binding et al., 2012, Binding et al., 2013], we will derive how to reduce the periodic or antiperiodic (CSLP) to an analysis of the Pr\u00fcfer angle. The eigenvalue interlacing property related to (CSLP) will be given.<\/jats:p>","DOI":"10.1155\/2023\/7656491","type":"journal-article","created":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T20:48:37Z","timestamp":1683751717000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["Remarks on the Periodic Conformable Sturm\u2013Liouville Problems"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5772-2835","authenticated-orcid":true,"given":"Wei-Chuan","family":"Wang","sequence":"first","affiliation":[{"name":"Center for General Education, National Quemoy University, Kinmen 892, Taiwan"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.01.002"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.10.016"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1515\/fca-2019-0016"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-04741-5"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-017-0213-8"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/3720471"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.124787"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s13324-020-00428-6"},{"key":"9","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1186\/s13661-021-01556-z","article-title":"The dual eigenvalue problems of the conformable fractional Sturm-Liouville problems","volume":"2021","author":"Y. H. Cheng","year":"2021","journal-title":"Boundary Value Problems"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1080\/17415977.2019.1615909"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1063\/1.5131167"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.119.06.477"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2013.04.033"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1002\/mma.5595"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.2298\/fil2207461a"},{"key":"16","first-page":"1348","article-title":"Conformable fractional Sturm-Liouville equation and some existenceresults on time scales","volume":"42","author":"T. Gulsen","year":"2018","journal-title":"Turkish Journal of Mathematics"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1002\/mma.6719"},{"volume-title":"Theory of Ordinary Differential Equations","year":"1955","author":"E. A. Coddington","key":"18"},{"volume-title":"Fractional Differential Equations","year":"1999","author":"I. Podlubny","key":"19"},{"volume-title":"Fractional Integrals and Derivatives: Theory and Applications","year":"1993","author":"S. G. Samko","key":"20"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2023\/7656491.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2023\/7656491.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2023\/7656491.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T20:48:42Z","timestamp":1683751722000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2023\/7656491\/"}},"subtitle":[],"editor":[{"given":"Abdellatif","family":"Ben Makhlouf","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2023,5,10]]},"references-count":20,"alternative-id":["7656491","7656491"],"URL":"https:\/\/doi.org\/10.1155\/2023\/7656491","relation":{},"ISSN":["1099-0526","1076-2787"],"issn-type":[{"type":"electronic","value":"1099-0526"},{"type":"print","value":"1076-2787"}],"subject":[],"published":{"date-parts":[[2023,5,10]]}}}