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The proposed problem is more comprehensive and applicable to real\u2010life situations. As an example of how our problem might be used, we have created a fractional\u2010order COVID\u201019 model whose solution is guaranteed by our results. We employed a numerical approach to solve the COVID\u201019 model, and the results were compared for different fractional orders. Our numerical results for fractional orders follow the same pattern as the classical example of order 1, indicating that our numerical scheme is accurate.<\/jats:p>","DOI":"10.1155\/2021\/2018307","type":"journal-article","created":{"date-parts":[[2021,7,23]],"date-time":"2021-07-23T17:50:09Z","timestamp":1627062609000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Fractional\u2010Order Sequential Hybrid System with an Application to a Biological System"],"prefix":"10.1155","volume":"2021","author":[{"given":"Hasib","family":"Khan","sequence":"first","affiliation":[]},{"given":"Hashim M.","family":"Alshehri","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8377-0208","authenticated-orcid":false,"given":"Zareen A.","family":"Khan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,7,23]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-020-03095-w"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2020.103593"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110256"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0022-247x(02)00716-3"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110107"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2019.1700409"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/8734535"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-00547-7"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110173"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7123"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110032"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.7153\/dea-02-28"},{"key":"e_1_2_11_13_2","first-page":"323","article-title":"Periodic boundary value problems of first order Caratheodory and discontinuous differential equations","volume":"13","author":"Dhage B.","year":"2008","journal-title":"Nonlinear Functional Analysis and Applications"},{"key":"e_1_2_11_14_2","first-page":"1","article-title":"Basic results in the theory of hybrid differential equations with mixed perturbations of second type","volume":"19","author":"Dhage B.","year":"2012","journal-title":"Functional Differential Equations"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.109647"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/2018307.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/2018307.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/2018307","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:52:00Z","timestamp":1723243920000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/2018307"}},"subtitle":[],"editor":[{"given":"Constantin","family":"Udriste","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/2018307"],"URL":"https:\/\/doi.org\/10.1155\/2021\/2018307","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-05-07","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-14","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-23","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2018307"}}