{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T20:58:27Z","timestamp":1770152307689,"version":"3.49.0"},"reference-count":33,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"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 paper investigates the oscillatory behavior of a class of mixed fractional-order nonlinear differential equations incorporating both the Liouville right-sided and conformable fractional derivatives. Symmetry plays a key role in understanding the oscillatory behavior of these systems. The motivation behind this study arises from the need for a more generalized framework to analyze oscillatory behavior in fractional differential equations, bridging the gap in the existing literature. By employing the generalized Riccati technique and the integral averaging method, we establish new oscillation criteria that extend and refine previous results. Illustrative examples are provided to validate the theoretical findings and highlight the effectiveness of the proposed methods.<\/jats:p>","DOI":"10.3390\/sym17030446","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T08:57:02Z","timestamp":1742201822000},"page":"446","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Oscillatory Behavior of a Class of Mixed Fractional-Order Nonlinear Differential Equations"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0477-1895","authenticated-orcid":false,"given":"George E.","family":"Chatzarakis","sequence":"first","affiliation":[{"name":"Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 15122 Athens, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3635-2396","authenticated-orcid":false,"given":"N.","family":"Nagajothi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nandha Engineering College, Erode 638 052, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Deepa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pavai Arts and Science College for Women, Rasipuram 637 401, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vadivel","family":"Sadhasivam","sequence":"additional","affiliation":[{"name":"Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College (Affiliated to Periyar University), Namakkal Dt., Rasipuram 637 401, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Abbas, S., Benchohra, M., and N\u2019Guerekata, G.M. 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