{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:56:17Z","timestamp":1760784977834,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T00:00:00Z","timestamp":1617926400000},"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>The purpose of this paper is to investigate some qualitative properties of solutions of nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo fractional derivatives. These properties include uniform stability, asymptotic stability, Mittag\u2013Leffer stability and boundedness. The presented results are proved by defining an appropriate Lyapunov function and applying the Lyapunov\u2013Razumikhin method (LRM). Hence, some results that are available in the literature are improved for the FrRIDEs and obtained under weaker conditions via the advantage of the LRM. In order to illustrate the results, two examples are provided.<\/jats:p>","DOI":"10.3390\/axioms10020058","type":"journal-article","created":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T10:05:21Z","timestamp":1617962721000},"page":"58","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Qualitative Analyses of Integro-Fractional Differential Equations with Caputo Derivatives and Retardations via the Lyapunov\u2013Razumikhin Method"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2965-4561","authenticated-orcid":false,"given":"Osman","family":"Tun\u00e7","sequence":"first","affiliation":[{"name":"Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, 65080 Van, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6443-9600","authenticated-orcid":false,"given":"\u00d6zkan","family":"Atan","sequence":"additional","affiliation":[{"name":"Department of Electric-Electronic Engineering, Faculty of Engineering, Van Yuzuncu Yil University, 65080 Van, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2909-8753","authenticated-orcid":false,"given":"Cemil","family":"Tun\u00e7","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080 Van, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jen-Chih","family":"Yao","sequence":"additional","affiliation":[{"name":"Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 406, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,9]]},"reference":[{"key":"ref_1","unstructured":"Burton, T.A. 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