Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorTekin, Merve Tastan
dc.contributor.authorAkram, Muhammad Mannan
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorMahmoud, Emad E.
dc.contributor.authorYahia, Ibrahim S.
dc.date.accessioned2024-12-24T19:25:12Z
dc.date.available2024-12-24T19:25:12Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an antiretroviral treatment compartment. The advanced approach is used for HIV/AIDS fractional order model to get reliable outcomes with the help of sumudu transform. The fractional-order HIV/AIDS model is analyzed qualitatively as well as verify unique solutions. Numerical simulations are performed to explain the effects of changing the fractional-order and to support the theoretical results using proposed methods for a range of fractional orders. Also, the comparison has been made with classical order derivative to check the effectiveness of the proposed method for HIV/ AIDS.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [R.G.P.2/43/40]; Deputyship for Research & Innovation, Ministry of Education, in Saudi Arabia [IFP-KKU-2020/10]; Taif University, Taif, Saudi Arabia [TURSP-2020/20]
dc.description.sponsorshipThe authors express their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through a research groups program under grant number R.G.P.2/43/40. Also, the authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education, in Saudi Arabia, for funding this research work through the project no.IFP-KKU-2020/10. Emad E. Mahmoud acknowledges Taif University Researchers Supporting Project number (TURSP-2020/20) , Taif University, Taif, Saudi Arabia. We would like to thank the reviewers for their thoughtful comments and efforts towards improving our paper.
dc.identifier.doi10.1016/j.aej.2022.04.030
dc.identifier.endpage10980
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85130133027
dc.identifier.scopusqualityQ1
dc.identifier.startpage10965
dc.identifier.urihttps://doi.org/10.1016/j.aej.2022.04.030
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6314
dc.identifier.volume61
dc.identifier.wosWOS:000799726500008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractal fractional
dc.subjectSumudu transforms
dc.subjectUniqueness
dc.subjectStability
dc.subjectSimulation
dc.titleFractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel
dc.typeArticle

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