{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T05:22:27Z","timestamp":1776403347780,"version":"3.51.2"},"reference-count":24,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2021,3,23]],"date-time":"2021-03-23T00:00:00Z","timestamp":1616457600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002349","name":"Academy of Scientific Research and Technology","doi-asserted-by":"publisher","award":["6454"],"award-info":[{"award-number":["6454"]}],"id":[{"id":"10.13039\/501100002349","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Advanced Research"],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1016\/j.jare.2021.03.010","type":"journal-article","created":{"date-parts":[[2021,4,2]],"date-time":"2021-04-02T02:47:25Z","timestamp":1617331645000},"page":"37-44","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":12,"special_numbering":"C","title":["Optimal bang-bang control for variable-order dengue virus; numerical studies"],"prefix":"10.1016","volume":"32","author":[{"given":"N.H.","family":"Sweilam","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.M.","family":"AL-Mekhlafi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.A.","family":"Shatta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"5","key":"10.1016\/j.jare.2021.03.010_b0005","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1004951","article-title":"Modelling virus and antibody dynamics during dengue virus infection suggests a role for antibody in virus clearance","volume":"12","author":"Clapham","year":"2015","journal-title":"PLoS Comput Biol"},{"issue":"11","key":"10.1016\/j.jare.2021.03.010_b0010","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pcbi.1006668","article-title":"A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable","volume":"15","author":"Mapder","year":"2019","journal-title":"PLoS Comput Biol"},{"key":"10.1016\/j.jare.2021.03.010_b0015","doi-asserted-by":"crossref","first-page":"68","DOI":"10.3182\/20060719-3-PT-4902.00011","article-title":"A formulation and numerical scheme for fractional optimal control problems","volume":"39","author":"Agrawal","year":"2006","journal-title":"IFAC Proc Vol"},{"issue":"4","key":"10.1016\/j.jare.2021.03.010_b0020","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0019447","article-title":"Defective interfering viral particles in acute dengue infections","volume":"6","author":"Li","year":"2011","journal-title":"PloS One"},{"issue":"5243","key":"10.1016\/j.jare.2021.03.010_b0025","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1038\/226325a0","article-title":"Defective viral particles and viral disease processes","volume":"226","author":"Huang","year":"1970","journal-title":"Nature"},{"key":"10.1016\/j.jare.2021.03.010_b0035","doi-asserted-by":"crossref","unstructured":"Lenhart SS, Workman JT. Optimal control applied to biological models, CRC Press; 2007.","DOI":"10.1201\/9781420011418"},{"issue":"3","key":"10.1016\/j.jare.2021.03.010_b0040","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1023\/A:1016027113579","article-title":"Optimal bang-bang controls for a two-compartment model in cancer chemotherapy","volume":"114","author":"Ledzewicz","year":"2002","journal-title":"J Optim Theory Appl"},{"key":"10.1016\/j.jare.2021.03.010_b0045","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.chaos.2018.06.032","article-title":"Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws","volume":"14","author":"Sol\u00eds-P\u00e9rez","year":"2018","journal-title":"Chaos, Solitons, and Fractals"},{"issue":"1","key":"10.1016\/j.jare.2021.03.010_b0050","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1515\/fca-2019-0003","article-title":"A review on variable-order fractional differential equations: mathematical foundations, physical models, and its applications","volume":"22","author":"Sun","year":"2019","journal-title":"Fract Calc Appl Anal"},{"issue":"2","key":"10.1016\/j.jare.2021.03.010_b0055","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.jare.2015.06.004","article-title":"Numerical study for multi-strain tuberculosis(TB) model of variable-order fractional derivatives","volume":"7","author":"Sweilam","year":"2016","journal-title":"J Adv Res"},{"issue":"5","key":"10.1016\/j.jare.2021.03.010_b0060","doi-asserted-by":"crossref","first-page":"1617","DOI":"10.1002\/num.22367","article-title":"A novel variable-order fractional nonlinear Klein Gordon model: a numerical approach","volume":"35","author":"Sweilam","year":"2019","journal-title":"Numer Methods Partial Differential Eq."},{"issue":"5","key":"10.1016\/j.jare.2021.03.010_b0065","doi-asserted-by":"crossref","first-page":"1581","DOI":"10.1002\/oca.2427","article-title":"Optimal control for a nonlinear mathematical model of tumor under immune suppression: a numerical approach","volume":"39","author":"Sweilam","year":"2018","journal-title":"Optim Control Appl Meth"},{"issue":"1","key":"10.1016\/j.jare.2021.03.010_b0070","first-page":"26","article-title":"On the awareness programs of the epidemic outbreaks fractional model","volume":"11","author":"Sweilam","year":"2020","journal-title":"J Fract Calc Appl"},{"key":"10.1016\/j.jare.2021.03.010_b0075","doi-asserted-by":"crossref","unstructured":"Sweilam NH, AL-Mekhlafi SM, Shatta SA, Baleanu D. Numerical study for a novel variable-order multiple time delay awareness programs mathematical model. Appl Numer Math 2020;158: 212-235.","DOI":"10.1016\/j.apnum.2020.07.016"},{"key":"10.1016\/j.jare.2021.03.010_b0080","doi-asserted-by":"crossref","unstructured":"Sweilam NH, AL-Mekhlafi SM, Shatta SA, Baleanu D. Numerical study for two types variable-order Burgers\u2019 equations with proportional delay. Appl Numer Math 2020;156: 364-376.","DOI":"10.1016\/j.apnum.2020.05.006"},{"key":"10.1016\/j.jare.2021.03.010_b0085","doi-asserted-by":"crossref","unstructured":"Sweilam NH, AL-Mekhlafi SM, Alshomrani AS, Baleanu D. Comparative study for optimal control nonlinear variable-order fractional tumor model. Chaos, Solitons, and Fractals, 136; (2020).","DOI":"10.1016\/j.chaos.2020.109810"},{"key":"10.1016\/j.jare.2021.03.010_b0090","doi-asserted-by":"crossref","first-page":"1557","DOI":"10.1016\/j.apm.2020.08.012","article-title":"Optimal control of variable-order fractional model for delay cancer treatments","volume":"89","author":"Sweilam","year":"2020","journal-title":"Appl Math Model"},{"key":"10.1016\/j.jare.2021.03.010_b0095","doi-asserted-by":"crossref","unstructured":"Sweilam NH, AL-Mekhlafi SM, Mohammed ZN, Baleanu D. Optimal control for variable order fractional HIV\/AIDS and malaria mathematical models with multi-time delay. Alexandria Eng J, https:\/\/doi.org\/10.1016\/j.aej.2020.07.021; 2020.","DOI":"10.1016\/j.aej.2020.07.021"},{"issue":"2","key":"10.1016\/j.jare.2021.03.010_b0105","doi-asserted-by":"crossref","DOI":"10.1515\/ijnsns-2018-0248","article-title":"Application of the Euler and Runge-Kutta generalized methods for FDE and symbolic packages in the analysis of some fractional attractors","volume":"21","author":"Milici","year":"2019","journal-title":"Int J Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.jare.2021.03.010_b0120","series-title":"Nonstandard finite difference models of differential equations","author":"Mickens","year":"2005"},{"issue":"109892","key":"10.1016\/j.jare.2021.03.010_b0125","article-title":"An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment","volume":"137","author":"Ameen","year":"2002","journal-title":"Chaos Solitons Fractals"},{"issue":"2","key":"10.1016\/j.jare.2021.03.010_b0130","doi-asserted-by":"crossref","first-page":"2677","DOI":"10.1016\/j.aej.2021.01.003","article-title":"Unifying computational framework for novel estimates involving discrete fractional calculus approaches","volume":"60","author":"Rashid","year":"2021","journal-title":"Alexandria Eng J"},{"key":"10.1016\/j.jare.2021.03.010_b0135","doi-asserted-by":"crossref","DOI":"10.1016\/j.jare.2020.12.004","article-title":"Analysis of fractional model of guava for biological pest control with memory effect","author":"Singh","year":"2021","journal-title":"J Adv Res"},{"key":"10.1016\/j.jare.2021.03.010_b0140","doi-asserted-by":"crossref","first-page":"110375","DOI":"10.1016\/j.chaos.2020.110375","article-title":"A computational study of fractional model of atmospheric dynamics of carbon dioxide gas","volume":"142","author":"Dubey","year":"2021","journal-title":"Chaos, Solitons & Fractals"}],"container-title":["Journal of Advanced Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S209012322100059X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S209012322100059X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T20:50:50Z","timestamp":1761857450000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S209012322100059X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9]]},"references-count":24,"alternative-id":["S209012322100059X"],"URL":"https:\/\/doi.org\/10.1016\/j.jare.2021.03.010","relation":{},"ISSN":["2090-1232"],"issn-type":[{"value":"2090-1232","type":"print"}],"subject":[],"published":{"date-parts":[[2021,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Optimal bang-bang control for variable-order dengue virus; numerical studies","name":"articletitle","label":"Article Title"},{"value":"Journal of Advanced Research","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jare.2021.03.010","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2021 The Authors. Published by Elsevier B.V. on behalf of Cairo University.","name":"copyright","label":"Copyright"}]}}