{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:36:29Z","timestamp":1771677389530,"version":"3.50.1"},"reference-count":52,"publisher":"Wiley","license":[{"start":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T00:00:00Z","timestamp":1704412800000},"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":[[2024,1,5]]},"abstract":"<jats:p>The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann\u2013Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.<\/jats:p>","DOI":"10.1155\/2024\/5595720","type":"journal-article","created":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T17:20:08Z","timestamp":1704475208000},"page":"1-14","source":"Crossref","is-referenced-by-count":2,"title":["Problem Involving the Riemann\u2013Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations"],"prefix":"10.1155","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2702-5112","authenticated-orcid":true,"given":"Zoubida","family":"Bouazza","sequence":"first","affiliation":[{"name":"Department of Informatics, University of Tiaret, Tiaret, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4342-5231","authenticated-orcid":true,"given":"Mohammed Said","family":"Souid","sequence":"additional","affiliation":[{"name":"Department of Economic Sciences, University of Tiaret, Tiaret, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7802-477X","authenticated-orcid":true,"given":"Hat\u0131ra","family":"G\u00fcnerhan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Education, Kafkas University, Kars, T\u00fcrkiye"},{"name":"MEU Research Unit, Middle East University, Amman, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2699-1490","authenticated-orcid":true,"given":"Ali","family":"Shokri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh 83111-55181, Iran"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1142\/s0217979223500637"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns-2021-0393"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.3934\/math.2022045"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2023.106521"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-023-02590-5"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1002\/mma.6092"},{"key":"7","first-page":"897","article-title":"Analysis of a caputo hiv and malaria co-infection epidemic model","volume":"19","author":"I. 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