{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T22:20:32Z","timestamp":1771539632175,"version":"3.50.1"},"reference-count":39,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T00:00:00Z","timestamp":1638921600000},"content-version":"vor","delay-in-days":341,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007446","name":"King Khalid University","doi-asserted-by":"publisher","award":["R.G.P-1\/192\/42"],"award-info":[{"award-number":["R.G.P-1\/192\/42"]}],"id":[{"id":"10.13039\/501100007446","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this article, we find the solution of time\u2010fractional Belousov\u2013Zhabotinskii reaction by implementing two well\u2010known analytical techniques. The proposed methods are the modified form of the Adomian decomposition method and homotopy perturbation method with Yang transform. In Caputo manner, the fractional derivative is used. The solution we obtained is in the form of series which helps in investigating the analytical solution of the time\u2010fractional Belousov\u2013Zhabotinskii (B\u2010Z) system. To verify the accuracy of the proposed methods, an illustrative example is taken, and through graphs, the solution is shown. Also, the fractional\u2010order and integer\u2010order solutions are compared with the help of graphs which are easy to understand. It has been verified that the solution obtained by using the given approaches has the desired rate of convergence to the exact solution. The proposed technique\u2019s principal benefit is the low amount of calculations required. It can also be used to solve fractional\u2010order physical problems in a variety of domains.<\/jats:p>","DOI":"10.1155\/2021\/3248376","type":"journal-article","created":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T22:21:01Z","timestamp":1639002061000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":73,"title":["Analytical Investigation of Noyes\u2013Field Model for Time\u2010Fractional Belousov\u2013Zhabotinsky Reaction"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2644-2881","authenticated-orcid":false,"given":"Mohammed Kbiri","family":"Alaoui","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7271-3611","authenticated-orcid":false,"given":"Rabia","family":"Fayyaz","sequence":"additional","affiliation":[]},{"given":"Adnan","family":"Khan","sequence":"additional","affiliation":[]},{"given":"Rasool","family":"Shah","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9085-324X","authenticated-orcid":false,"given":"Mohammed S.","family":"Abdo","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,12,8]]},"reference":[{"key":"e_1_2_10_1_2","article-title":"Fractional calculus: history, definitions and applications for the engineer","author":"Loverro A.","year":"2004","journal-title":"Rapport Technique"},{"key":"e_1_2_10_2_2","volume-title":"Fractional Differential Equations","author":"Podlubny I.","year":"1999"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.bspc.2014.10.012"},{"key":"e_1_2_10_4_2","volume-title":"Preface: Recent Advances in Fractional Dynamics","author":"Srivastava H. 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