{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:02:02Z","timestamp":1760058122616,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T00:00:00Z","timestamp":1741651200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research (DSR)","award":["418-130-2024"],"award-info":[{"award-number":["418-130-2024"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper is devoted to studying the existence and uniqueness of mild solutions for semilinear fractional evolution equations with the Hilfer\u2013Katugampola fractional derivative and under the nonlocal multi-point condition. The analysis is based on analytic semigroup theory, the Krasnoselskii fixed-point theorem, and the Banach fixed-point theorem. An application to a time-fractional real Ginzburg\u2013Landau equation is also given to illustrate the applicability of our results. Furthermore, we determine some conditions to make the control (Bifurcation) parameter in the Ginzburg\u2013Landau equation sufficiently small.<\/jats:p>","DOI":"10.3390\/axioms14030205","type":"journal-article","created":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T16:39:03Z","timestamp":1741711143000},"page":"205","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fractional Evolution Equation with Nonlocal Multi-Point Condition: Application to Fractional Ginzburg\u2013Landau Equation"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8583-4228","authenticated-orcid":false,"given":"Ahmed","family":"Salem","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}]},{"given":"Rania","family":"Al-Maalwi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"},{"name":"Department of Mathematics, Umm Al-Qura University, Adham 28653, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,11]]},"reference":[{"key":"ref_1","unstructured":"Oliver, C. (2002). Evolution Equations in Scales of Banach Spaces, Springer. TEUBNER-TEXTE zur Mathematik."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Cazenave, T., Haraux, A., and Martel, Y. (1999). An Introduction to Semilinear Evolution Equations, Clarendon Press.","DOI":"10.1093\/oso\/9780198502777.001.0001"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Salem, A., and Alharbi, K.N. (2023). 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