{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,13]],"date-time":"2025-11-13T07:22:21Z","timestamp":1763018541323,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,6,25]],"date-time":"2022-06-25T00:00:00Z","timestamp":1656115200000},"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>In this paper, some novel conditions for the stability results for a class of fractional-order quasi-linear impulsive integro-differential systems with multiple delays is discussed. First, the existence and uniqueness of mild solutions for the considered system is discussed using contraction mapping theorem. Then, novel conditions for Mittag\u2013Leffler stability (MLS) of the considered system are established by using well known mathematical techniques, and further, the two corollaries are deduced, which still gives some new results. Finally, an example is given to illustrate the applications of the results.<\/jats:p>","DOI":"10.3390\/axioms11070308","type":"journal-article","created":{"date-parts":[[2022,6,25]],"date-time":"2022-06-25T10:39:13Z","timestamp":1656153553000},"page":"308","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Stability of Fractional-Order Quasi-Linear Impulsive Integro-Differential Systems with Multiple Delays"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2323-3328","authenticated-orcid":false,"given":"Mathiyalagan","family":"Kalidass","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bharathiar University, Coimbatore 641 046, India"}]},{"given":"Shengda","family":"Zeng","sequence":"additional","affiliation":[{"name":"Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3966-6518","authenticated-orcid":false,"given":"Mehmet","family":"Yavuz","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, Konya 42090, T\u00fcrkiye"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,25]]},"reference":[{"key":"ref_1","unstructured":"Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. 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