{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:56:37Z","timestamp":1740110197188,"version":"3.37.3"},"reference-count":27,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T00:00:00Z","timestamp":1590019200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"CIDMA\u2014Center for Research and Development in Mathematics and Applications"},{"name":"(FCT-Funda\u00e7ao para a Ci\u00eancia e a Tecnologia","award":["UIDB\/04106\/2020"]},{"DOI":"10.13039\/501100005033","name":"Bialystok University of Technology","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100005033","id-type":"DOI","asserted-by":"publisher"}]},{"name":"SGH Warsaw School of Economics, Poland","award":["KAE\/DB\/20"]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1016\/j.cam.2020.112996","type":"journal-article","created":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T06:03:58Z","timestamp":1590991438000},"page":"112996","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":6,"special_numbering":"C","title":["Optimal leader-following consensus of fractional opinion formation models"],"prefix":"10.1016","volume":"381","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1305-2411","authenticated-orcid":false,"given":"Ricardo","family":"Almeida","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7800-412X","authenticated-orcid":false,"given":"Rafa\u0142","family":"Kamocki","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1309-8583","authenticated-orcid":false,"given":"Agnieszka B.","family":"Malinowska","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4354-9293","authenticated-orcid":false,"given":"Tatiana","family":"Odzijewicz","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2020.112996_b1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0065-227X(86)90003-1","article-title":"Dynamical aspects of animal grouping: swarms, schools, flocks, and herds","volume":"22","author":"Okubo","year":"1986","journal-title":"Adv. Biophys."},{"issue":"4","key":"10.1016\/j.cam.2020.112996_b2","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1145\/37402.37406","article-title":"Flocks, herds, and schools: a distributed behavioral model","volume":"21","author":"Reynolds","year":"1987","journal-title":"Comput. Graph."},{"issue":"345","key":"10.1016\/j.cam.2020.112996_b3","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1080\/01621459.1974.10480137","article-title":"Reaching a consensus","volume":"69","author":"DeGroot","year":"1974","journal-title":"J. Am. Stat. Assoc."},{"key":"10.1016\/j.cam.2020.112996_b4","series-title":"Advances in Experimental Social Psychology, vol. 3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0065-2601(08)60341-X","article-title":"Mathematical models in social psychology","author":"Abelson","year":"1967"},{"key":"10.1016\/j.cam.2020.112996_b5","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.1103\/PhysRevLett.75.1226","article-title":"Novel type of phase transition in system of self-driven particles","volume":"75","author":"Vicek","year":"1995","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"10.1016\/j.cam.2020.112996_b6","first-page":"1","article-title":"Opinion dynamics and bounded confidence, models, analysis and simulation","volume":"5","author":"Hegselmann","year":"2002","journal-title":"J. Artif. Soc. Soc. Simul."},{"issue":"1","key":"10.1016\/j.cam.2020.112996_b7","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s11537-007-0647-x","article-title":"On the mathematics of emergence","volume":"2","author":"Cucker","year":"2007","journal-title":"Japan. J. Math."},{"key":"10.1016\/j.cam.2020.112996_b8","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.arcontrol.2017.03.002","article-title":"A tutorial on modeling and analysis of dynamic social networks. Part I","volume":"43","author":"Proskurnikov","year":"2017","journal-title":"Annu. Rev. Control"},{"key":"10.1016\/j.cam.2020.112996_b9","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.arcontrol.2018.03.005","article-title":"A tutorial on modeling and analysis of dynamic social networks. Part II","volume":"45","author":"Proskurnikov","year":"2018","journal-title":"Annu. Rev. Control"},{"issue":"3","key":"10.1016\/j.cam.2020.112996_b10","doi-asserted-by":"crossref","first-page":"477","DOI":"10.3934\/nhm.2015.10.477","article-title":"Opinion dynamics under the influence of radical groups, charismatic leaders and other constant signals. A simple unifying model","volume":"10","author":"Hegselmann","year":"2015","journal-title":"Netw. Heterog. Media"},{"issue":"3","key":"10.1016\/j.cam.2020.112996_b11","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1142\/S0218202515400060","article-title":"On the control through leadership of the Hegselmann-Krause opinion formation model","volume":"25","author":"Wongkaew","year":"2015","journal-title":"Math. Methods Appl. Sci."},{"key":"10.1016\/j.cam.2020.112996_b12","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-14574-2_8","article-title":"The analysis of fractional differential equations","author":"Diethelm","year":"2010"},{"year":"2006","series-title":"Theory and Applications of Fractional Differential Equations","author":"Kilbas","key":"10.1016\/j.cam.2020.112996_b13"},{"year":"1999","series-title":"Fractional Differential Equations","author":"Podlubny","key":"10.1016\/j.cam.2020.112996_b14"},{"year":"1993","series-title":"Fractional Integrals and Derivatives, Translated from the 1987 Russian Original","author":"Samko","key":"10.1016\/j.cam.2020.112996_b15"},{"issue":"2","key":"10.1016\/j.cam.2020.112996_b16","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1115\/1.3167616","article-title":"Application of fractional calculus to the theory of viscoelasticity","volume":"51","author":"Koeller","year":"1984","journal-title":"J. Appl. Mech."},{"issue":"3-4","key":"10.1016\/j.cam.2020.112996_b17","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/BF01176603","article-title":"Polynomial operators, stieltjes convolution, and fractional calculus in hereditary mechanics","volume":"58","author":"Koeller","year":"1986","journal-title":"Acta Mech."},{"issue":"1","key":"10.1016\/j.cam.2020.112996_b18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0370-1573(00)00070-3","article-title":"The random walk\u2019s guide to anomalous diffusion: a fractional dynamics approach","volume":"339","author":"Metzler","year":"2000","journal-title":"Phys. Rep."},{"key":"10.1016\/j.cam.2020.112996_b19","first-page":"99","article-title":"Overview to mathematical analysis for fractional diffusion equations\u2013new mathematical aspects motivated by industrial collaboration","volume":"2A","author":"Nakagawa","year":"2010","journal-title":"J. Math. Ind."},{"key":"10.1016\/j.cam.2020.112996_b20","first-page":"129","article-title":"A fruitful interplay: from nonlocality to fractional calculus, Nonlinear Waves: Classical and quantum aspects","volume":"vol. 153","author":"Vazquez","year":"2005"},{"key":"10.1016\/j.cam.2020.112996_b21","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.cnsns.2018.04.019","article-title":"A new collection of real world applications of fractional calculus in science and engineering","volume":"64","author":"Sun","year":"2018","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"201","key":"10.1016\/j.cam.2020.112996_b22","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1016\/j.chaos.2006.01.098","article-title":"Fractional-order dynamical models of love","volume":"33","author":"Ahmad","year":"2007","journal-title":"Chaos Solitons Fractals"},{"issue":"3","key":"10.1016\/j.cam.2020.112996_b23","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1016\/j.cnsns.2009.04.029","article-title":"Dynamical models of happiness with fractional order","volume":"15","author":"Song","year":"2010","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"year":"1993","series-title":"Fractional Integrals and Derivatives Theory and Applications","author":"Samko","key":"10.1016\/j.cam.2020.112996_b24"},{"issue":"2","key":"10.1016\/j.cam.2020.112996_b25","doi-asserted-by":"crossref","first-page":"279","DOI":"10.15388\/NA.2019.2.8","article-title":"A nonlinear control system with a Hilfer derivative and its optimization","volume":"24","author":"Kamocki","year":"2019","journal-title":"Nonlinear Anal. Model."},{"issue":"1","key":"10.1016\/j.cam.2020.112996_b26","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.jmaa.2012.10.008","article-title":"Existence of a weak solution for fractional Euler\u2013Lagrange equations","volume":"399","author":"Bourdin","year":"2013","journal-title":"J. Math. Anal. Appl."},{"year":"2015","series-title":"Computational Methods in the Fractional Calculus of Variations","author":"Almeida","key":"10.1016\/j.cam.2020.112996_b27"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042720302879?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042720302879?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,12,11]],"date-time":"2020-12-11T18:49:58Z","timestamp":1607712598000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042720302879"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":27,"alternative-id":["S0377042720302879"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2020.112996","relation":{},"ISSN":["0377-0427"],"issn-type":[{"type":"print","value":"0377-0427"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Optimal leader-following consensus of fractional opinion formation models","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2020.112996","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2020 The Author(s). Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"112996"}}