{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T08:00:16Z","timestamp":1776758416713,"version":"3.51.2"},"reference-count":30,"publisher":"SAGE Publications","issue":"9","license":[{"start":{"date-parts":[[2015,2,25]],"date-time":"2015-02-25T00:00:00Z","timestamp":1424822400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Vibration and Control"],"published-print":{"date-parts":[[2016,5]]},"abstract":"<jats:p> We propose a fractional complex-order model for drug resistance in HIV infection. We consider three distinct growth rates for the CD4<jats:sup>+<\/jats:sup> T helper cells. We simulate the model for different values of the fractional derivative of complex order D<jats:sup>\u03b1\u00b1j\u03b2<\/jats:sup>, where \u03b1,\u03b2\u2009\u2208\u2009 R<jats:sup>+<\/jats:sup>, and for distinct growth rates. The fractional derivative of complex order is a generalization of the integer-order derivative where \u03b1\u2009=\u20091 and \u03b2\u2009=\u20090. The fractional complex-order system reveals rich dynamics and variation of the value of the complex-order derivative sheds new light on the modeling of the intracellular delay. Additionally, fractional patterns are characterized by time responses with faster transients and slower evolutions towards the steady state. <\/jats:p>","DOI":"10.1177\/1077546315574964","type":"journal-article","created":{"date-parts":[[2015,2,26]],"date-time":"2015-02-26T17:08:26Z","timestamp":1424970506000},"page":"2222-2239","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":41,"title":["Fractional complex-order model for HIV infection with drug resistance during therapy"],"prefix":"10.1177","volume":"22","author":[{"given":"Carla MA","family":"Pinto","sequence":"first","affiliation":[{"name":"School of Engineering, Polytechnic of Porto, Portugal"},{"name":"Centro de Matem\u00e1tica da Universidade do Porto, Portugal"}]},{"given":"Ana RM","family":"Carvalho","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of Porto, Portugal"}]}],"member":"179","published-online":{"date-parts":[[2015,2,25]]},"reference":[{"key":"bibr1-1077546315574964","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0016468"},{"key":"bibr2-1077546315574964","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.10.002"},{"key":"bibr3-1077546315574964","doi-asserted-by":"publisher","DOI":"10.1177\/1077546307087445"},{"key":"bibr4-1077546315574964","doi-asserted-by":"publisher","DOI":"10.1007\/BF00879562"},{"key":"bibr5-1077546315574964","author":"Golmankhaneh A","year":"2013","journal-title":"Journal of Vibration and 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