{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T15:25:12Z","timestamp":1777649112387,"version":"3.51.4"},"reference-count":30,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,8,2]],"date-time":"2020-08-02T00:00:00Z","timestamp":1596326400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A coupled system of singular fractional differential equations involving Riemann\u2013Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.<\/jats:p>","DOI":"10.3390\/axioms9030095","type":"journal-article","created":{"date-parts":[[2020,8,3]],"date-time":"2020-08-03T03:16:46Z","timestamp":1596424606000},"page":"95","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Fractional Singular Differential Systems of Lane\u2013Emden Type: Existence and Uniqueness of Solutions"],"prefix":"10.3390","volume":"9","author":[{"given":"Yazid","family":"Gouari","sequence":"first","affiliation":[{"name":"Laboratory of Pure and Applied Math\u2019s, Faculty of SEI, UMAB University of Mostaganem, Mostaganem 27000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zoubir","family":"Dahmani","sequence":"additional","affiliation":[{"name":"LPAM, UMAB, University of Mostaganem, Mostaganem 27000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shan E.","family":"Farooq","sequence":"additional","affiliation":[{"name":"Mathematics Department, GC University, Lahore 54000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5240-5825","authenticated-orcid":false,"given":"Farooq","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Mathematics Department, University of Ha\u2019il, Ha\u2019il 55211, Saudi Arabia"},{"name":"School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore 637551, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"688","DOI":"10.1016\/j.physa.2018.03.056","article-title":"Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties","volume":"505","author":"Atangana","year":"2018","journal-title":"Phys. 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