{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:27:13Z","timestamp":1760236033218,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,10,15]],"date-time":"2021-10-15T00:00:00Z","timestamp":1634256000000},"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 paper is dedicated to the study of a class of boundary value problems for a nonlinear, implicit, hybrid, fractional, differential equation, supplemented with boundary conditions involving general fractional derivatives, known as the \u03d1-Hilfer and \u03d1-Riemann\u2013Liouville fractional operators. The existence of solutions to the mentioned problem is obtained by some auxiliary conditions and applied Dhage\u2019s fixed point theorem on Banach algebras. The considered problem covers some symmetry cases, with respect to a \u03d1 function. Moreover, we present a pertinent example to corroborate the reported results.<\/jats:p>","DOI":"10.3390\/sym13101937","type":"journal-article","created":{"date-parts":[[2021,10,17]],"date-time":"2021-10-17T23:25:15Z","timestamp":1634513115000},"page":"1937","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Implicit Hybrid Fractional Boundary Value Problem via Generalized Hilfer Derivative"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6032-4694","authenticated-orcid":false,"given":"Abdellatif","family":"\u202cBoutiara","sequence":"first","affiliation":[{"name":"Laboratory of Mathematics and Applied Sciences, University of Ghardaia, Metlili 47000, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9085-324X","authenticated-orcid":false,"given":"Mohammed S.","family":"\u202cAbdo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Education, Hodeidah University, P.O. Box 3114, Al-Hudaydah  207416, Yemen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5719-086X","authenticated-orcid":false,"given":"Mohammed A.","family":"\u202cAlmalahi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hajjah University, Hajjah 00967, Yemen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5438-5407","authenticated-orcid":false,"given":"Hijaz","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy"}]},{"given":"Amira","family":"Ishan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,15]]},"reference":[{"key":"ref_1","unstructured":"Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). 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