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The full model, named Caputo\u2013Lu\u2013Chen model is solved analytically and a complete error analysis is performed to test the convergence of the method. It reveals that the error made using such a technique is negligible. Numerical simulations, performed in pure fractional and standard integer cases, show that the Caputo\u2013Lu\u2013Chen system maintains its status of strange, chaotic and multiscroll attractor. The graphics in both cases present similar features characterized by attractors with many scrolls. Hence, the Caputo derivative order when introduced as parameter in the Lu\u2013Chen system does not remove the multiscroll property of generated attractors; it even becomes an important control parameter able to change the dynamics of the whole system. This result can be very important in control theory. <\/jats:p>","DOI":"10.1142\/s0218127418501250","type":"journal-article","created":{"date-parts":[[2018,9,24]],"date-time":"2018-09-24T05:20:28Z","timestamp":1537766428000},"page":"1850125","source":"Crossref","is-referenced-by-count":15,"title":["Mathematical Analysis of Peculiar Behavior by Chaotic, Fractional and Strange Multiwing Attractors"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6520-1039","authenticated-orcid":false,"given":"Emile Franc","family":"Doungmo Goufo","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, University of South Africa, Florida Campus, Florida 0003, South Africa"}]}],"member":"219","published-online":{"date-parts":[[2018,9,24]]},"reference":[{"key":"S0218127418501250BIB001","first-page":"1","volume":"7","author":"Atangana A.","year":"2015","journal-title":"Adv. Mech. 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