{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,9]],"date-time":"2025-12-09T06:12:20Z","timestamp":1765260740168,"version":"3.46.0"},"reference-count":47,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2025,11,30]],"date-time":"2025-11-30T00:00:00Z","timestamp":1764460800000},"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":["11871302"],"award-info":[{"award-number":["11871302"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ARC Discovery Project Grant","award":["DP230102079"],"award-info":[{"award-number":["DP230102079"]}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"crossref","award":["ZR2022MA009"],"award-info":[{"award-number":["ZR2022MA009"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The paper is devoted to the study of a class of singular high-order fractional integro-differential equations with p-Laplacian operator, involving both the Riemann\u2013Liouville fractional derivative and the Caputo fractional derivative. First, we investigate the problem by the method of reducing the order of fractional derivative. Then, by using the Schauder fixed point theorem, the existence of solutions is proved. The upper and lower bounds for the unique solution of the problem are established under various conditions by employing the Banach contraction mapping principle. Furthermore, four numerical examples are presented to illustrate the applications of our main results.<\/jats:p>","DOI":"10.3390\/axioms14120890","type":"journal-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T16:41:41Z","timestamp":1765212101000},"page":"890","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Existence and Uniqueness of Solutions for Singular Fractional Integro-Differential Equations with p-Laplacian and Two Kinds of Fractional Derivatives"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2336-2437","authenticated-orcid":false,"given":"Fang","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8541-1017","authenticated-orcid":false,"given":"Lishan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China"},{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8408-3859","authenticated-orcid":false,"given":"Haibo","family":"Gu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-0712-0015","authenticated-orcid":false,"given":"Lina","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1028-1785","authenticated-orcid":false,"given":"Yonghong","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mainardi, F. 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