{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T20:58:57Z","timestamp":1780088337225,"version":"3.54.0"},"reference-count":34,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T00:00:00Z","timestamp":1720742400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This study aims to address the topic of finite-time synchronization within a specific subset of fractional-order Degn\u2013Harrison reaction\u2013diffusion systems. To achieve this goal, we begin with the introduction of a novel lemma specific for finite-time stability analysis. Diverging from existing criteria, this lemma represents a significant extension of prior findings, laying the groundwork for subsequent investigations. Building upon this foundation, we proceed to develop efficient dependent linear controllers designed to orchestrate finite-time synchronization. Leveraging the power of a Lyapunov function, we derive new, robust conditions that ensure the attainment of synchronization within a predefined time frame. This innovative approach not only enhances our understanding of finite-time synchronization, but also offers practical solutions for its realization in complex systems. To validate the efficacy and applicability of our proposed methodology, extensive numerical simulations are conducted. Through this comprehensive analysis, we aim to contribute valuable insights to the field of fractional-order reaction\u2013diffusion systems while paving the way for practical implementations in real-world applications.<\/jats:p>","DOI":"10.3390\/computation12070144","type":"journal-article","created":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T08:47:41Z","timestamp":1720774061000},"page":"144","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Fractional-Order Degn\u2013Harrison Reaction\u2013Diffusion Model: Finite-Time Dynamics of Stability and Synchronization"],"prefix":"10.3390","volume":"12","author":[{"given":"Ma\u2019mon Abu","family":"Hammad","sequence":"first","affiliation":[{"name":"Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"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"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Waseem Ghazi","family":"Alshanti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ahmad","family":"Alshanty","sequence":"additional","affiliation":[{"name":"Cyber Security Department, Al Zaytoonah University of Jordan, Amman 11733, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Adel","family":"Ouannas","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6944-1689","authenticated-orcid":false,"given":"Amel","family":"Hioual","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shaher","family":"Momani","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates"},{"name":"Department of Mathematics, The University of Jordan, Amman 11942, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"91829","DOI":"10.1109\/ACCESS.2020.2993784","article-title":"Synchronization methods for the Degn-Harrison reaction-diffusion systems","volume":"8","author":"Mesdoui","year":"2020","journal-title":"IEEE Access"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2832781","DOI":"10.1155\/2019\/2832781","article-title":"Synchronization control in reaction-diffusion systems: Application to Lengyel-Epstein system","volume":"2019","author":"Ouannas","year":"2019","journal-title":"Complexity"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"934","DOI":"10.1016\/j.camwa.2012.01.056","article-title":"Synchronization and control of coupled reaction\u2013diffusion systems of the FitzHugh\u2013Nagumo type","volume":"64","author":"Ambrosio","year":"2012","journal-title":"Comput. 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