{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,12]],"date-time":"2026-04-12T15:38:39Z","timestamp":1776008319385,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,9,30]],"date-time":"2024-09-30T00:00:00Z","timestamp":1727654400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100018786","name":"Al-Zaytoonah University of Jordan","doi-asserted-by":"publisher","award":["2024"],"award-info":[{"award-number":["2024"]}],"id":[{"id":"10.13039\/501100018786","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>In this paper, we present an investigation into the stability of equilibrium points and synchronization within a finite time frame for fractional-order Lengyel\u2013Epstein reaction-diffusion systems. Initially, we utilize Lyapunov theory and multiple criteria to examine the finite-time stability of equilibrium points. Following this analysis, we design efficient, interdependent linear controllers. By applying a Lyapunov function, we define new adequate conditions to ensure finite-time synchronization within a specified time interval. Finally, we provide two illustrative examples to demonstrate the effectiveness and practicality of our proposed method and validate the theoretical outcomes.<\/jats:p>","DOI":"10.3390\/computation12100197","type":"journal-article","created":{"date-parts":[[2024,9,30]],"date-time":"2024-09-30T06:39:35Z","timestamp":1727678375000},"page":"197","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["A New Investigation on Dynamics of the Fractional Lengyel-Epstein Model: Finite Time Stability and Finite Time Synchronization"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2900-9925","authenticated-orcid":false,"given":"Hani Mahmoud","family":"Almimi","sequence":"first","affiliation":[{"name":"Department of Cybersecurity, Al-Zaytoonah University of Jordan, Amman 11733, Jordan"}]},{"given":"Ma\u2019mon","family":"Abu Hammad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan"}]},{"given":"Ghadeer","family":"Farraj","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences, Middle East University, Amman 11610, Jordan"}]},{"given":"Issam","family":"Bendib","sequence":"additional","affiliation":[{"name":"Applied Mathematics & Modeling Laboratory, Department of Mathematics, Faculty of Exact Sciences, University of Brothers Mentouri, Constantine 25000, Algeria"}]},{"given":"Adel","family":"Ouannas","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1021\/j100391a007","article-title":"Batch Oscillations and Spatial Wave Patterns in Chlorite Oscillating Systems","volume":"86","author":"DeKepper","year":"1982","journal-title":"J. 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