{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:25:40Z","timestamp":1760145940441,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T00:00:00Z","timestamp":1725408000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This research focuses on finding multiple solutions (MSs) to nonlinear fractional boundary value problems (BVPs) through a new development, namely the predictor Laplace fractional power series method. This method predicts the missing initial values by applying boundary or force conditions. This research provides a set of theorems necessary for deriving the recurrence relations to find the series terms. Several examples demonstrate the efficacy, convergence, and accuracy of the algorithm. Under Caputo\u2019s definition of the fractional derivative with symmetric order, the obtained results are visualized numerically and graphically. The behavior of the generated solutions indicates that altering the fractional derivative parameters within their domain symmetrically changes these solutions, ultimately aligning them with the standard derivative. The results are compared with the homotopy analysis method and are presented in various figures and tables.<\/jats:p>","DOI":"10.3390\/sym16091152","type":"journal-article","created":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T05:54:47Z","timestamp":1725429287000},"page":"1152","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Predictor Laplace Fractional Power Series Method for Finding Multiple Solutions of Fractional Boundary Value Problems"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5374-0916","authenticated-orcid":false,"given":"Abedel-Karrem","family":"Alomari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Yarmouk University, Irbid 21163, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-3742-6178","authenticated-orcid":false,"given":"Wael Mahmoud Mohammad","family":"Salameh","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Abu Dhabi University, Abu Dhabi P.O. Box 59911, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9099-5619","authenticated-orcid":false,"given":"Mohammad","family":"Alaroud","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nedal","family":"Tahat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"10609","DOI":"10.1002\/mma.6335","article-title":"A fractional model for propagation of classical optical solitons by using nonsingular derivative","volume":"45","author":"Veeresha","year":"2024","journal-title":"Math. 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