{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T13:46:52Z","timestamp":1777556812486,"version":"3.51.4"},"reference-count":35,"publisher":"Wiley","license":[{"start":{"date-parts":[[2019,1,8]],"date-time":"2019-01-08T00:00:00Z","timestamp":1546905600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2019,1,8]]},"abstract":"<jats:p>In this paper, the fractional-order differential model of HIV-1 infection of CD4<jats:sup>+<\/jats:sup>T-cells with the effect of drug therapy has been introduced. There are three components: uninfected CD4<jats:sup>+<\/jats:sup>T-cells,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>x<\/mml:mi><\/mml:math>, infected CD4<jats:sup>+<\/jats:sup>T-cells,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>y<\/mml:mi><\/mml:math>, and density of virions in plasma,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>z<\/mml:mi><\/mml:math>. The aim is to gain numerical solution of this fractional-order HIV-1 model by Laplace Adomian decomposition method (LADM). The solution of the proposed model has been achieved in a series form. Moreover, to illustrate the ability and efficiency of the proposed approach, the solution will be compared with the solutions of some other numerical methods. The Caputo sense has been used for fractional derivatives.<\/jats:p>","DOI":"10.1155\/2019\/4059549","type":"journal-article","created":{"date-parts":[[2019,1,8]],"date-time":"2019-01-08T23:48:28Z","timestamp":1546991308000},"page":"1-12","source":"Crossref","is-referenced-by-count":23,"title":["The Fractional Differential Model of HIV-1 Infection of CD4<sup>+<\/sup>T-Cells with Description of the Effect of Antiviral Drug Treatment"],"prefix":"10.1155","volume":"2019","author":[{"given":"Bijan Hasani","family":"Lichae","sequence":"first","affiliation":[{"name":"Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran"},{"name":"Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8026-2999","authenticated-orcid":true,"given":"Jafar","family":"Biazar","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. 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