{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T13:24:29Z","timestamp":1769520269744,"version":"3.49.0"},"reference-count":9,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T00:00:00Z","timestamp":1672617600000},"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 present paper deals with well-posedness and asymptotic stability for weakly coupled wave equations with a more general internal control of diffusive type. Owing to the semigroup theory of linear operator, the well-posedness of system is proved. Furthermore, we show a general decay rate result. The method is based on the frequency domain approach combined with multiplier technique.<\/jats:p>","DOI":"10.3390\/axioms12010048","type":"journal-article","created":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T03:50:32Z","timestamp":1672631432000},"page":"48","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type"],"prefix":"10.3390","volume":"12","author":[{"given":"Abderrahmane","family":"Beniani","sequence":"first","affiliation":[{"name":"EDPs Analysis and Control Laboratory, Department of Mathematics, BP 284, University Ain T\u00e9mouchent, Belhadj Bouchaib 46000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Noureddine","family":"Bahri","sequence":"additional","affiliation":[{"name":"Laboratory of Mathematics and Applications, Hassiba Benbouali University, Chlef 02000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4994-833X","authenticated-orcid":false,"given":"Rabab","family":"Alharbi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3561-6353","authenticated-orcid":false,"given":"Keltoum","family":"Bouhali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Sciences, 20 Aout 1955 University, Skikda 21000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7895-4168","authenticated-orcid":false,"given":"Khaled","family":"Zennir","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia"},{"name":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, Guelma 24000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1093\/imamci\/dni056","article-title":"Wave energy decay under fractional derivative controls","volume":"23","author":"Mbodje","year":"2006","journal-title":"IMA J. 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